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Finding the Fourth Proportional to 49,657.53, 74,386.56 and 22,966.10

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Solution

The fourth proportional to 49,657.53, 74,386.56 and 22,966.10 is: 34,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657.53 : 74,386.56 = 22,966.10 : x
  2. Step 2: Convert to fraction form
    49,657.53/74,386.56 = 22,966.10/x
  3. Step 3: Cross multiply
    49,657.53x = 74,386.56 × 22,966.10
  4. Step 4: Simplify right side
    49,657.53x = 1,708,369,175.62
  5. Step 5: Solve for x
    x = 1,708,369,175.62/49,657.53
  6. Step 6: Final answer
    x = 34,403.02

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Why These Related Problems?

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