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Finding the Fourth Proportional to 51,152.59, 76,645.45 and 31,389.40

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Solution

The fourth proportional to 51,152.59, 76,645.45 and 31,389.40 is: 47,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,152.59 : 76,645.45 = 31,389.40 : x
  2. Step 2: Convert to fraction form
    51,152.59/76,645.45 = 31,389.40/x
  3. Step 3: Cross multiply
    51,152.59x = 76,645.45 × 31,389.40
  4. Step 4: Simplify right side
    51,152.59x = 2,405,854,688.23
  5. Step 5: Solve for x
    x = 2,405,854,688.23/51,152.59
  6. Step 6: Final answer
    x = 47,032.90

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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.