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Finding the Fourth Proportional to 102,431.64, 153,652.32 and 49,778.40

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Solution

The fourth proportional to 102,431.64, 153,652.32 and 49,778.40 is: 74,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,431.64 : 153,652.32 = 49,778.40 : x
  2. Step 2: Convert to fraction form
    102,431.64/153,652.32 = 49,778.40/x
  3. Step 3: Cross multiply
    102,431.64x = 153,652.32 × 49,778.40
  4. Step 4: Simplify right side
    102,431.64x = 7,648,566,645.89
  5. Step 5: Solve for x
    x = 7,648,566,645.89/102,431.64
  6. Step 6: Final answer
    x = 74,669.96

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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.