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Finding the Fourth Proportional to 76,851, 106,141.86 and 51,656.76

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Solution

The fourth proportional to 76,851, 106,141.86 and 51,656.76 is: 71,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851 : 106,141.86 = 51,656.76 : x
  2. Step 2: Convert to fraction form
    76,851/106,141.86 = 51,656.76/x
  3. Step 3: Cross multiply
    76,851x = 106,141.86 × 51,656.76
  4. Step 4: Simplify right side
    76,851x = 5,482,944,587.97
  5. Step 5: Solve for x
    x = 5,482,944,587.97/76,851
  6. Step 6: Final answer
    x = 71,345.13

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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.