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Finding the Fourth Proportional to 103,652.64, 155,488.68 and 41,328

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Solution

The fourth proportional to 103,652.64, 155,488.68 and 41,328 is: 61,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652.64 : 155,488.68 = 41,328 : x
  2. Step 2: Convert to fraction form
    103,652.64/155,488.68 = 41,328/x
  3. Step 3: Cross multiply
    103,652.64x = 155,488.68 × 41,328
  4. Step 4: Simplify right side
    103,652.64x = 6,426,036,167.04
  5. Step 5: Solve for x
    x = 6,426,036,167.04/103,652.64
  6. Step 6: Final answer
    x = 61,995.88

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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.