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Finding the Fourth Proportional to 50,785.47, 70,102.76 and 30,643.20

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Solution

The fourth proportional to 50,785.47, 70,102.76 and 30,643.20 is: 42,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,785.47 : 70,102.76 = 30,643.20 : x
  2. Step 2: Convert to fraction form
    50,785.47/70,102.76 = 30,643.20/x
  3. Step 3: Cross multiply
    50,785.47x = 70,102.76 × 30,643.20
  4. Step 4: Simplify right side
    50,785.47x = 2,148,172,742.02
  5. Step 5: Solve for x
    x = 2,148,172,742.02/50,785.47
  6. Step 6: Final answer
    x = 42,298.96

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