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Finding the Fourth Proportional to 57,528, 86,193.72 and 40,805.28

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Solution

The fourth proportional to 57,528, 86,193.72 and 40,805.28 is: 61,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528 : 86,193.72 = 40,805.28 : x
  2. Step 2: Convert to fraction form
    57,528/86,193.72 = 40,805.28/x
  3. Step 3: Cross multiply
    57,528x = 86,193.72 × 40,805.28
  4. Step 4: Simplify right side
    57,528x = 3,517,158,878.84
  5. Step 5: Solve for x
    x = 3,517,158,878.84/57,528
  6. Step 6: Final answer
    x = 61,138.21

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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.