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Finding the Fourth Proportional to 56,364.31, 84,549.03 and 31,385.53

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Solution

The fourth proportional to 56,364.31, 84,549.03 and 31,385.53 is: 47,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364.31 : 84,549.03 = 31,385.53 : x
  2. Step 2: Convert to fraction form
    56,364.31/84,549.03 = 31,385.53/x
  3. Step 3: Cross multiply
    56,364.31x = 84,549.03 × 31,385.53
  4. Step 4: Simplify right side
    56,364.31x = 2,653,616,117.54
  5. Step 5: Solve for x
    x = 2,653,616,117.54/56,364.31
  6. Step 6: Final answer
    x = 47,079.72

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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.