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Finding the Fourth Proportional to 83,024.38, 114,439.80 and 56,157.09

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Solution

The fourth proportional to 83,024.38, 114,439.80 and 56,157.09 is: 77,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024.38 : 114,439.80 = 56,157.09 : x
  2. Step 2: Convert to fraction form
    83,024.38/114,439.80 = 56,157.09/x
  3. Step 3: Cross multiply
    83,024.38x = 114,439.80 × 56,157.09
  4. Step 4: Simplify right side
    83,024.38x = 6,426,606,148.18
  5. Step 5: Solve for x
    x = 6,426,606,148.18/83,024.38
  6. Step 6: Final answer
    x = 77,406.25

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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.