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Finding the Fourth Proportional to 76,338.89, 105,347.58 and 42,352.53

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Solution

The fourth proportional to 76,338.89, 105,347.58 and 42,352.53 is: 58,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338.89 : 105,347.58 = 42,352.53 : x
  2. Step 2: Convert to fraction form
    76,338.89/105,347.58 = 42,352.53/x
  3. Step 3: Cross multiply
    76,338.89x = 105,347.58 × 42,352.53
  4. Step 4: Simplify right side
    76,338.89x = 4,461,736,542.38
  5. Step 5: Solve for x
    x = 4,461,736,542.38/76,338.89
  6. Step 6: Final answer
    x = 58,446.44

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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.