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Finding the Fourth Proportional to 78,775.24, 117,885.30 and 49,207

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Solution

The fourth proportional to 78,775.24, 117,885.30 and 49,207 is: 73,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.24 : 117,885.30 = 49,207 : x
  2. Step 2: Convert to fraction form
    78,775.24/117,885.30 = 49,207/x
  3. Step 3: Cross multiply
    78,775.24x = 117,885.30 × 49,207
  4. Step 4: Simplify right side
    78,775.24x = 5,800,781,957.10
  5. Step 5: Solve for x
    x = 5,800,781,957.10/78,775.24
  6. Step 6: Final answer
    x = 73,637.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.