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Finding the Fourth Proportional to 50,782.60, 70,070.64 and 29,568.76

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Solution

The fourth proportional to 50,782.60, 70,070.64 and 29,568.76 is: 40,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.60 : 70,070.64 = 29,568.76 : x
  2. Step 2: Convert to fraction form
    50,782.60/70,070.64 = 29,568.76/x
  3. Step 3: Cross multiply
    50,782.60x = 70,070.64 × 29,568.76
  4. Step 4: Simplify right side
    50,782.60x = 2,071,901,937.21
  5. Step 5: Solve for x
    x = 2,071,901,937.21/50,782.60
  6. Step 6: Final answer
    x = 40,799.45

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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.