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Finding the Fourth Proportional to 76,170.10, 105,113.44 and 42,177.84

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Solution

The fourth proportional to 76,170.10, 105,113.44 and 42,177.84 is: 58,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,170.10 : 105,113.44 = 42,177.84 : x
  2. Step 2: Convert to fraction form
    76,170.10/105,113.44 = 42,177.84/x
  3. Step 3: Cross multiply
    76,170.10x = 105,113.44 × 42,177.84
  4. Step 4: Simplify right side
    76,170.10x = 4,433,457,854.17
  5. Step 5: Solve for x
    x = 4,433,457,854.17/76,170.10
  6. Step 6: Final answer
    x = 58,204.70

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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.