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Finding the Fourth Proportional to 49,117.68, 67,779.84 and 27,894

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Solution

The fourth proportional to 49,117.68, 67,779.84 and 27,894 is: 38,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.68 : 67,779.84 = 27,894 : x
  2. Step 2: Convert to fraction form
    49,117.68/67,779.84 = 27,894/x
  3. Step 3: Cross multiply
    49,117.68x = 67,779.84 × 27,894
  4. Step 4: Simplify right side
    49,117.68x = 1,890,650,856.96
  5. Step 5: Solve for x
    x = 1,890,650,856.96/49,117.68
  6. Step 6: Final answer
    x = 38,492.27

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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.