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Finding the Fourth Proportional to 42,338.80, 58,431.04 and 23,482

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Solution

The fourth proportional to 42,338.80, 58,431.04 and 23,482 is: 32,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.80 : 58,431.04 = 23,482 : x
  2. Step 2: Convert to fraction form
    42,338.80/58,431.04 = 23,482/x
  3. Step 3: Cross multiply
    42,338.80x = 58,431.04 × 23,482
  4. Step 4: Simplify right side
    42,338.80x = 1,372,077,681.28
  5. Step 5: Solve for x
    x = 1,372,077,681.28/42,338.80
  6. Step 6: Final answer
    x = 32,407.10

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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.