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Finding the Fourth Proportional to 32,788.52, 49,184.94 and 9,415.16

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Solution

The fourth proportional to 32,788.52, 49,184.94 and 9,415.16 is: 14,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788.52 : 49,184.94 = 9,415.16 : x
  2. Step 2: Convert to fraction form
    32,788.52/49,184.94 = 9,415.16/x
  3. Step 3: Cross multiply
    32,788.52x = 49,184.94 × 9,415.16
  4. Step 4: Simplify right side
    32,788.52x = 463,084,079.69
  5. Step 5: Solve for x
    x = 463,084,079.69/32,788.52
  6. Step 6: Final answer
    x = 14,123.36

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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.