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Finding the Fourth Proportional to 42,259, 58,317.42 and 23,397.34

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Solution

The fourth proportional to 42,259, 58,317.42 and 23,397.34 is: 32,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,259 : 58,317.42 = 23,397.34 : x
  2. Step 2: Convert to fraction form
    42,259/58,317.42 = 23,397.34/x
  3. Step 3: Cross multiply
    42,259x = 58,317.42 × 23,397.34
  4. Step 4: Simplify right side
    42,259x = 1,364,472,503.66
  5. Step 5: Solve for x
    x = 1,364,472,503.66/42,259
  6. Step 6: Final answer
    x = 32,288.33

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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.