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Finding the Fourth Proportional to 77,560.30, 107,043.29 and 47,339.34

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Solution

The fourth proportional to 77,560.30, 107,043.29 and 47,339.34 is: 65,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,560.30 : 107,043.29 = 47,339.34 : x
  2. Step 2: Convert to fraction form
    77,560.30/107,043.29 = 47,339.34/x
  3. Step 3: Cross multiply
    77,560.30x = 107,043.29 × 47,339.34
  4. Step 4: Simplify right side
    77,560.30x = 5,067,358,700.03
  5. Step 5: Solve for x
    x = 5,067,358,700.03/77,560.30
  6. Step 6: Final answer
    x = 65,334.44

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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.