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Finding the Fourth Proportional to 70,577.40, 105,833.70 and 31,114.20

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Solution

The fourth proportional to 70,577.40, 105,833.70 and 31,114.20 is: 46,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577.40 : 105,833.70 = 31,114.20 : x
  2. Step 2: Convert to fraction form
    70,577.40/105,833.70 = 31,114.20/x
  3. Step 3: Cross multiply
    70,577.40x = 105,833.70 × 31,114.20
  4. Step 4: Simplify right side
    70,577.40x = 3,292,930,908.54
  5. Step 5: Solve for x
    x = 3,292,930,908.54/70,577.40
  6. Step 6: Final answer
    x = 46,657.02

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1.5x scale

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.