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Finding the Fourth Proportional to 87,598, 120,885.24 and 47,854

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Solution

The fourth proportional to 87,598, 120,885.24 and 47,854 is: 66,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,598 : 120,885.24 = 47,854 : x
  2. Step 2: Convert to fraction form
    87,598/120,885.24 = 47,854/x
  3. Step 3: Cross multiply
    87,598x = 120,885.24 × 47,854
  4. Step 4: Simplify right side
    87,598x = 5,784,842,274.96
  5. Step 5: Solve for x
    x = 5,784,842,274.96/87,598
  6. Step 6: Final answer
    x = 66,038.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.