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Finding the Fourth Proportional to 50,866.32, 70,191.72 and 28,506

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Solution

The fourth proportional to 50,866.32, 70,191.72 and 28,506 is: 39,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.32 : 70,191.72 = 28,506 : x
  2. Step 2: Convert to fraction form
    50,866.32/70,191.72 = 28,506/x
  3. Step 3: Cross multiply
    50,866.32x = 70,191.72 × 28,506
  4. Step 4: Simplify right side
    50,866.32x = 2,000,885,170.32
  5. Step 5: Solve for x
    x = 2,000,885,170.32/50,866.32
  6. Step 6: Final answer
    x = 39,336.15

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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.