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Finding the Fourth Proportional to 30,658.61, 45,963.11 and 9,587.81

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Solution

The fourth proportional to 30,658.61, 45,963.11 and 9,587.81 is: 14,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.61 : 45,963.11 = 9,587.81 : x
  2. Step 2: Convert to fraction form
    30,658.61/45,963.11 = 9,587.81/x
  3. Step 3: Cross multiply
    30,658.61x = 45,963.11 × 9,587.81
  4. Step 4: Simplify right side
    30,658.61x = 440,685,565.69
  5. Step 5: Solve for x
    x = 440,685,565.69/30,658.61
  6. Step 6: Final answer
    x = 14,373.96

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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.