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Finding the Fourth Proportional to 70,557.80, 105,836.70 and 31,094.60

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Solution

The fourth proportional to 70,557.80, 105,836.70 and 31,094.60 is: 46,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,557.80 : 105,836.70 = 31,094.60 : x
  2. Step 2: Convert to fraction form
    70,557.80/105,836.70 = 31,094.60/x
  3. Step 3: Cross multiply
    70,557.80x = 105,836.70 × 31,094.60
  4. Step 4: Simplify right side
    70,557.80x = 3,290,949,851.82
  5. Step 5: Solve for x
    x = 3,290,949,851.82/70,557.80
  6. Step 6: Final answer
    x = 46,641.90

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Why These Related Problems?

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