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Finding the Fourth Proportional to 42,384.90, 58,490 and 23,264.65

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Solution

The fourth proportional to 42,384.90, 58,490 and 23,264.65 is: 32,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.90 : 58,490 = 23,264.65 : x
  2. Step 2: Convert to fraction form
    42,384.90/58,490 = 23,264.65/x
  3. Step 3: Cross multiply
    42,384.90x = 58,490 × 23,264.65
  4. Step 4: Simplify right side
    42,384.90x = 1,360,749,086.05
  5. Step 5: Solve for x
    x = 1,360,749,086.05/42,384.90
  6. Step 6: Final answer
    x = 32,104.57

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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.