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Finding the Fourth Proportional to 76,386.48, 105,414.45 and 42,395.64

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Solution

The fourth proportional to 76,386.48, 105,414.45 and 42,395.64 is: 58,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.48 : 105,414.45 = 42,395.64 : x
  2. Step 2: Convert to fraction form
    76,386.48/105,414.45 = 42,395.64/x
  3. Step 3: Cross multiply
    76,386.48x = 105,414.45 × 42,395.64
  4. Step 4: Simplify right side
    76,386.48x = 4,469,113,073.00
  5. Step 5: Solve for x
    x = 4,469,113,073.00/76,386.48
  6. Step 6: Final answer
    x = 58,506.60

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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.