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Finding the Fourth Proportional to 42,063.57, 58,047.61 and 24,159.74

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Solution

The fourth proportional to 42,063.57, 58,047.61 and 24,159.74 is: 33,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,063.57 : 58,047.61 = 24,159.74 : x
  2. Step 2: Convert to fraction form
    42,063.57/58,047.61 = 24,159.74/x
  3. Step 3: Cross multiply
    42,063.57x = 58,047.61 × 24,159.74
  4. Step 4: Simplify right side
    42,063.57x = 1,402,415,165.22
  5. Step 5: Solve for x
    x = 1,402,415,165.22/42,063.57
  6. Step 6: Final answer
    x = 33,340.37

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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.