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Finding the Fourth Proportional to 37,587.66, 56,381.49 and 9,883.50

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Solution

The fourth proportional to 37,587.66, 56,381.49 and 9,883.50 is: 14,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,587.66 : 56,381.49 = 9,883.50 : x
  2. Step 2: Convert to fraction form
    37,587.66/56,381.49 = 9,883.50/x
  3. Step 3: Cross multiply
    37,587.66x = 56,381.49 × 9,883.50
  4. Step 4: Simplify right side
    37,587.66x = 557,246,456.42
  5. Step 5: Solve for x
    x = 557,246,456.42/37,587.66
  6. Step 6: Final answer
    x = 14,825.25

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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.