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Finding the Fourth Proportional to 32,895.47, 49,348.06 and 9,518.87

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Solution

The fourth proportional to 32,895.47, 49,348.06 and 9,518.87 is: 14,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895.47 : 49,348.06 = 9,518.87 : x
  2. Step 2: Convert to fraction form
    32,895.47/49,348.06 = 9,518.87/x
  3. Step 3: Cross multiply
    32,895.47x = 49,348.06 × 9,518.87
  4. Step 4: Simplify right side
    32,895.47x = 469,737,497.35
  5. Step 5: Solve for x
    x = 469,737,497.35/32,895.47
  6. Step 6: Final answer
    x = 14,279.70

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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.