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Finding the Fourth Proportional to 32,417.52, 48,640.88 and 18,566.52

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Solution

The fourth proportional to 32,417.52, 48,640.88 and 18,566.52 is: 27,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.52 : 48,640.88 = 18,566.52 : x
  2. Step 2: Convert to fraction form
    32,417.52/48,640.88 = 18,566.52/x
  3. Step 3: Cross multiply
    32,417.52x = 48,640.88 × 18,566.52
  4. Step 4: Simplify right side
    32,417.52x = 903,091,871.34
  5. Step 5: Solve for x
    x = 903,091,871.34/32,417.52
  6. Step 6: Final answer
    x = 27,858.14

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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.