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Finding the Fourth Proportional to 52,354.16, 78,531.16 and 15,418.16

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Solution

The fourth proportional to 52,354.16, 78,531.16 and 15,418.16 is: 23,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354.16 : 78,531.16 = 15,418.16 : x
  2. Step 2: Convert to fraction form
    52,354.16/78,531.16 = 15,418.16/x
  3. Step 3: Cross multiply
    52,354.16x = 78,531.16 × 15,418.16
  4. Step 4: Simplify right side
    52,354.16x = 1,210,805,989.87
  5. Step 5: Solve for x
    x = 1,210,805,989.87/52,354.16
  6. Step 6: Final answer
    x = 23,127.22

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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.