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Finding the Fourth Proportional to 42,315.65, 58,401.82 and 24,407.16

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Solution

The fourth proportional to 42,315.65, 58,401.82 and 24,407.16 is: 33,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315.65 : 58,401.82 = 24,407.16 : x
  2. Step 2: Convert to fraction form
    42,315.65/58,401.82 = 24,407.16/x
  3. Step 3: Cross multiply
    42,315.65x = 58,401.82 × 24,407.16
  4. Step 4: Simplify right side
    42,315.65x = 1,425,422,443.00
  5. Step 5: Solve for x
    x = 1,425,422,443.00/42,315.65
  6. Step 6: Final answer
    x = 33,685.47

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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.