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Finding the Fourth Proportional to 76,343.42, 105,354.18 and 42,352.58

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Solution

The fourth proportional to 76,343.42, 105,354.18 and 42,352.58 is: 58,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.42 : 105,354.18 = 42,352.58 : x
  2. Step 2: Convert to fraction form
    76,343.42/105,354.18 = 42,352.58/x
  3. Step 3: Cross multiply
    76,343.42x = 105,354.18 × 42,352.58
  4. Step 4: Simplify right side
    76,343.42x = 4,462,020,810.01
  5. Step 5: Solve for x
    x = 4,462,020,810.01/76,343.42
  6. Step 6: Final answer
    x = 58,446.70

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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.