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Finding the Fourth Proportional to 58,407.84, 80,574.72 and 38,256

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Solution

The fourth proportional to 58,407.84, 80,574.72 and 38,256 is: 52,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,407.84 : 80,574.72 = 38,256 : x
  2. Step 2: Convert to fraction form
    58,407.84/80,574.72 = 38,256/x
  3. Step 3: Cross multiply
    58,407.84x = 80,574.72 × 38,256
  4. Step 4: Simplify right side
    58,407.84x = 3,082,466,488.32
  5. Step 5: Solve for x
    x = 3,082,466,488.32/58,407.84
  6. Step 6: Final answer
    x = 52,774.88

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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.