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Finding the Fourth Proportional to 32,062.50, 48,098.92 and 9,875.87

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Solution

The fourth proportional to 32,062.50, 48,098.92 and 9,875.87 is: 14,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.50 : 48,098.92 = 9,875.87 : x
  2. Step 2: Convert to fraction form
    32,062.50/48,098.92 = 9,875.87/x
  3. Step 3: Cross multiply
    32,062.50x = 48,098.92 × 9,875.87
  4. Step 4: Simplify right side
    32,062.50x = 475,018,415.88
  5. Step 5: Solve for x
    x = 475,018,415.88/32,062.50
  6. Step 6: Final answer
    x = 14,815.39

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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.