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Finding the Fourth Proportional to 31,728,608.10, 47,518,262.55 and 31,728,608.10

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Solution

The fourth proportional to 31,728,608.10, 47,518,262.55 and 31,728,608.10 is: 47,518,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728,608.10 : 47,518,262.55 = 31,728,608.10 : x
  2. Step 2: Convert to fraction form
    31,728,608.10/47,518,262.55 = 31,728,608.10/x
  3. Step 3: Cross multiply
    31,728,608.10x = 47,518,262.55 × 31,728,608.10
  4. Step 4: Simplify right side
    31,728,608.10x = 1,507,688,330,041,856.75
  5. Step 5: Solve for x
    x = 1,507,688,330,041,856.75/31,728,608.10
  6. Step 6: Final answer
    x = 47,518,262.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.