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Finding the Fourth Proportional to 52,338, 72,225.12 and 28,464.16

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Solution

The fourth proportional to 52,338, 72,225.12 and 28,464.16 is: 39,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338 : 72,225.12 = 28,464.16 : x
  2. Step 2: Convert to fraction form
    52,338/72,225.12 = 28,464.16/x
  3. Step 3: Cross multiply
    52,338x = 72,225.12 × 28,464.16
  4. Step 4: Simplify right side
    52,338x = 2,055,827,371.70
  5. Step 5: Solve for x
    x = 2,055,827,371.70/52,338
  6. Step 6: Final answer
    x = 39,279.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.