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Finding the Fourth Proportional to 94,584, 141,878.16 and 28,022.88

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Solution

The fourth proportional to 94,584, 141,878.16 and 28,022.88 is: 42,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,584 : 141,878.16 = 28,022.88 : x
  2. Step 2: Convert to fraction form
    94,584/141,878.16 = 28,022.88/x
  3. Step 3: Cross multiply
    94,584x = 141,878.16 × 28,022.88
  4. Step 4: Simplify right side
    94,584x = 3,975,834,652.30
  5. Step 5: Solve for x
    x = 3,975,834,652.30/94,584
  6. Step 6: Final answer
    x = 42,034.96

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Why These Related Problems?

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