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Finding the Fourth Proportional to 70,486, 105,781.54 and 28,366.42

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Solution

The fourth proportional to 70,486, 105,781.54 and 28,366.42 is: 42,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 105,781.54 = 28,366.42 : x
  2. Step 2: Convert to fraction form
    70,486/105,781.54 = 28,366.42/x
  3. Step 3: Cross multiply
    70,486x = 105,781.54 × 28,366.42
  4. Step 4: Simplify right side
    70,486x = 3,000,643,591.89
  5. Step 5: Solve for x
    x = 3,000,643,591.89/70,486
  6. Step 6: Final answer
    x = 42,570.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.