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Finding the Fourth Proportional to 42,478, 58,619.71 and 23,615.13

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Solution

The fourth proportional to 42,478, 58,619.71 and 23,615.13 is: 32,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,478 : 58,619.71 = 23,615.13 : x
  2. Step 2: Convert to fraction form
    42,478/58,619.71 = 23,615.13/x
  3. Step 3: Cross multiply
    42,478x = 58,619.71 × 23,615.13
  4. Step 4: Simplify right side
    42,478x = 1,384,311,779.11
  5. Step 5: Solve for x
    x = 1,384,311,779.11/42,478
  6. Step 6: Final answer
    x = 32,588.91

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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.