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Finding the Fourth Proportional to 103,394.52, 155,114.33 and 32,322.48

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Solution

The fourth proportional to 103,394.52, 155,114.33 and 32,322.48 is: 48,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,394.52 : 155,114.33 = 32,322.48 : x
  2. Step 2: Convert to fraction form
    103,394.52/155,114.33 = 32,322.48/x
  3. Step 3: Cross multiply
    103,394.52x = 155,114.33 × 32,322.48
  4. Step 4: Simplify right side
    103,394.52x = 5,013,679,829.14
  5. Step 5: Solve for x
    x = 5,013,679,829.14/103,394.52
  6. Step 6: Final answer
    x = 48,490.77

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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.