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Finding the Fourth Proportional to 52,455.80, 72,346.38 and 48,082.52

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Solution

The fourth proportional to 52,455.80, 72,346.38 and 48,082.52 is: 66,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,455.80 : 72,346.38 = 48,082.52 : x
  2. Step 2: Convert to fraction form
    52,455.80/72,346.38 = 48,082.52/x
  3. Step 3: Cross multiply
    52,455.80x = 72,346.38 × 48,082.52
  4. Step 4: Simplify right side
    52,455.80x = 3,478,596,263.28
  5. Step 5: Solve for x
    x = 3,478,596,263.28/52,455.80
  6. Step 6: Final answer
    x = 66,314.81

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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.