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Finding the Fourth Proportional to 31,773.81, 47,661.06 and 9,587.38

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Solution

The fourth proportional to 31,773.81, 47,661.06 and 9,587.38 is: 14,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.81 : 47,661.06 = 9,587.38 : x
  2. Step 2: Convert to fraction form
    31,773.81/47,661.06 = 9,587.38/x
  3. Step 3: Cross multiply
    31,773.81x = 47,661.06 × 9,587.38
  4. Step 4: Simplify right side
    31,773.81x = 456,944,693.42
  5. Step 5: Solve for x
    x = 456,944,693.42/31,773.81
  6. Step 6: Final answer
    x = 14,381.17

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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.