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Finding the Fourth Proportional to 105,023.67, 144,958.86 and 62,574

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Solution

The fourth proportional to 105,023.67, 144,958.86 and 62,574 is: 86,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023.67 : 144,958.86 = 62,574 : x
  2. Step 2: Convert to fraction form
    105,023.67/144,958.86 = 62,574/x
  3. Step 3: Cross multiply
    105,023.67x = 144,958.86 × 62,574
  4. Step 4: Simplify right side
    105,023.67x = 9,070,655,705.64
  5. Step 5: Solve for x
    x = 9,070,655,705.64/105,023.67
  6. Step 6: Final answer
    x = 86,367.73

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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.