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Finding the Fourth Proportional to 70,851.60, 97,785.96 and 53,827.92

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Solution

The fourth proportional to 70,851.60, 97,785.96 and 53,827.92 is: 74,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851.60 : 97,785.96 = 53,827.92 : x
  2. Step 2: Convert to fraction form
    70,851.60/97,785.96 = 53,827.92/x
  3. Step 3: Cross multiply
    70,851.60x = 97,785.96 × 53,827.92
  4. Step 4: Simplify right side
    70,851.60x = 5,263,614,832.00
  5. Step 5: Solve for x
    x = 5,263,614,832.00/70,851.60
  6. Step 6: Final answer
    x = 74,290.70

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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.