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Finding the Fourth Proportional to 42,491.40, 58,633.38 and 23,627.40

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Solution

The fourth proportional to 42,491.40, 58,633.38 and 23,627.40 is: 32,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,491.40 : 58,633.38 = 23,627.40 : x
  2. Step 2: Convert to fraction form
    42,491.40/58,633.38 = 23,627.40/x
  3. Step 3: Cross multiply
    42,491.40x = 58,633.38 × 23,627.40
  4. Step 4: Simplify right side
    42,491.40x = 1,385,354,322.61
  5. Step 5: Solve for x
    x = 1,385,354,322.61/42,491.40
  6. Step 6: Final answer
    x = 32,603.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.