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Finding the Fourth Proportional to 55,847.60, 77,069.16 and 31,978.48

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Solution

The fourth proportional to 55,847.60, 77,069.16 and 31,978.48 is: 44,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847.60 : 77,069.16 = 31,978.48 : x
  2. Step 2: Convert to fraction form
    55,847.60/77,069.16 = 31,978.48/x
  3. Step 3: Cross multiply
    55,847.60x = 77,069.16 × 31,978.48
  4. Step 4: Simplify right side
    55,847.60x = 2,464,554,591.68
  5. Step 5: Solve for x
    x = 2,464,554,591.68/55,847.60
  6. Step 6: Final answer
    x = 44,130.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.