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Finding the Fourth Proportional to 42,482.72, 58,624 and 23,616.16

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Solution

The fourth proportional to 42,482.72, 58,624 and 23,616.16 is: 32,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482.72 : 58,624 = 23,616.16 : x
  2. Step 2: Convert to fraction form
    42,482.72/58,624 = 23,616.16/x
  3. Step 3: Cross multiply
    42,482.72x = 58,624 × 23,616.16
  4. Step 4: Simplify right side
    42,482.72x = 1,384,473,763.84
  5. Step 5: Solve for x
    x = 1,384,473,763.84/42,482.72
  6. Step 6: Final answer
    x = 32,589.10

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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.