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Finding the Fourth Proportional to 71,468.51, 107,127.13 and 24,038.45

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Solution

The fourth proportional to 71,468.51, 107,127.13 and 24,038.45 is: 36,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.51 : 107,127.13 = 24,038.45 : x
  2. Step 2: Convert to fraction form
    71,468.51/107,127.13 = 24,038.45/x
  3. Step 3: Cross multiply
    71,468.51x = 107,127.13 × 24,038.45
  4. Step 4: Simplify right side
    71,468.51x = 2,575,170,158.15
  5. Step 5: Solve for x
    x = 2,575,170,158.15/71,468.51
  6. Step 6: Final answer
    x = 36,032.24

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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.