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Finding the Fourth Proportional to 32,053.15, 48,084.95 and 9,866.53

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Solution

The fourth proportional to 32,053.15, 48,084.95 and 9,866.53 is: 14,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.15 : 48,084.95 = 9,866.53 : x
  2. Step 2: Convert to fraction form
    32,053.15/48,084.95 = 9,866.53/x
  3. Step 3: Cross multiply
    32,053.15x = 48,084.95 × 9,866.53
  4. Step 4: Simplify right side
    32,053.15x = 474,431,601.72
  5. Step 5: Solve for x
    x = 474,431,601.72/32,053.15
  6. Step 6: Final answer
    x = 14,801.40

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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.