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Finding the Fourth Proportional to 57,233.61, 78,980.18 and 31,741.02

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Solution

The fourth proportional to 57,233.61, 78,980.18 and 31,741.02 is: 43,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.61 : 78,980.18 = 31,741.02 : x
  2. Step 2: Convert to fraction form
    57,233.61/78,980.18 = 31,741.02/x
  3. Step 3: Cross multiply
    57,233.61x = 78,980.18 × 31,741.02
  4. Step 4: Simplify right side
    57,233.61x = 2,506,911,472.98
  5. Step 5: Solve for x
    x = 2,506,911,472.98/57,233.61
  6. Step 6: Final answer
    x = 43,801.39

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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.