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Finding the Fourth Proportional to 52,657.12, 72,632.88 and 31,420

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Solution

The fourth proportional to 52,657.12, 72,632.88 and 31,420 is: 43,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.12 : 72,632.88 = 31,420 : x
  2. Step 2: Convert to fraction form
    52,657.12/72,632.88 = 31,420/x
  3. Step 3: Cross multiply
    52,657.12x = 72,632.88 × 31,420
  4. Step 4: Simplify right side
    52,657.12x = 2,282,125,089.60
  5. Step 5: Solve for x
    x = 2,282,125,089.60/52,657.12
  6. Step 6: Final answer
    x = 43,339.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.