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Finding the Fourth Proportional to 77,181.60, 115,772.40 and 47,114.40

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Solution

The fourth proportional to 77,181.60, 115,772.40 and 47,114.40 is: 70,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,181.60 : 115,772.40 = 47,114.40 : x
  2. Step 2: Convert to fraction form
    77,181.60/115,772.40 = 47,114.40/x
  3. Step 3: Cross multiply
    77,181.60x = 115,772.40 × 47,114.40
  4. Step 4: Simplify right side
    77,181.60x = 5,454,547,162.56
  5. Step 5: Solve for x
    x = 5,454,547,162.56/77,181.60
  6. Step 6: Final answer
    x = 70,671.60

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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.