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Finding the Fourth Proportional to 76,343.97, 105,354.80 and 42,352.46

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Solution

The fourth proportional to 76,343.97, 105,354.80 and 42,352.46 is: 58,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.97 : 105,354.80 = 42,352.46 : x
  2. Step 2: Convert to fraction form
    76,343.97/105,354.80 = 42,352.46/x
  3. Step 3: Cross multiply
    76,343.97x = 105,354.80 × 42,352.46
  4. Step 4: Simplify right side
    76,343.97x = 4,462,034,555.71
  5. Step 5: Solve for x
    x = 4,462,034,555.71/76,343.97
  6. Step 6: Final answer
    x = 58,446.46

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1.5x scale

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.