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Finding the Fourth Proportional to 32,062.54, 48,098.98 and 9,875.91

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Solution

The fourth proportional to 32,062.54, 48,098.98 and 9,875.91 is: 14,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.54 : 48,098.98 = 9,875.91 : x
  2. Step 2: Convert to fraction form
    32,062.54/48,098.98 = 9,875.91/x
  3. Step 3: Cross multiply
    32,062.54x = 48,098.98 × 9,875.91
  4. Step 4: Simplify right side
    32,062.54x = 475,021,197.57
  5. Step 5: Solve for x
    x = 475,021,197.57/32,062.54
  6. Step 6: Final answer
    x = 14,815.46

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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.