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Finding the Fourth Proportional to 52,854.32, 72,939.48 and 30,494

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Solution

The fourth proportional to 52,854.32, 72,939.48 and 30,494 is: 42,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.32 : 72,939.48 = 30,494 : x
  2. Step 2: Convert to fraction form
    52,854.32/72,939.48 = 30,494/x
  3. Step 3: Cross multiply
    52,854.32x = 72,939.48 × 30,494
  4. Step 4: Simplify right side
    52,854.32x = 2,224,216,503.12
  5. Step 5: Solve for x
    x = 2,224,216,503.12/52,854.32
  6. Step 6: Final answer
    x = 42,082.02

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