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Finding the Fourth Proportional to 56,101.53, 84,087.66 and 22,785

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Solution

The fourth proportional to 56,101.53, 84,087.66 and 22,785 is: 34,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101.53 : 84,087.66 = 22,785 : x
  2. Step 2: Convert to fraction form
    56,101.53/84,087.66 = 22,785/x
  3. Step 3: Cross multiply
    56,101.53x = 84,087.66 × 22,785
  4. Step 4: Simplify right side
    56,101.53x = 1,915,937,333.10
  5. Step 5: Solve for x
    x = 1,915,937,333.10/56,101.53
  6. Step 6: Final answer
    x = 34,151.25

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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.