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Finding the Fourth Proportional to 32,064.16, 48,101.50 and 9,877.54

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Solution

The fourth proportional to 32,064.16, 48,101.50 and 9,877.54 is: 14,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.16 : 48,101.50 = 9,877.54 : x
  2. Step 2: Convert to fraction form
    32,064.16/48,101.50 = 9,877.54/x
  3. Step 3: Cross multiply
    32,064.16x = 48,101.50 × 9,877.54
  4. Step 4: Simplify right side
    32,064.16x = 475,124,490.31
  5. Step 5: Solve for x
    x = 475,124,490.31/32,064.16
  6. Step 6: Final answer
    x = 14,817.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.