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Finding the Fourth Proportional to 76,708.12, 105,854.32 and 42,718

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Solution

The fourth proportional to 76,708.12, 105,854.32 and 42,718 is: 58,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,708.12 : 105,854.32 = 42,718 : x
  2. Step 2: Convert to fraction form
    76,708.12/105,854.32 = 42,718/x
  3. Step 3: Cross multiply
    76,708.12x = 105,854.32 × 42,718
  4. Step 4: Simplify right side
    76,708.12x = 4,521,884,841.76
  5. Step 5: Solve for x
    x = 4,521,884,841.76/76,708.12
  6. Step 6: Final answer
    x = 58,949.23

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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.