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Finding the Fourth Proportional to 77,363.46, 116,051.10 and 32,990.40

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Solution

The fourth proportional to 77,363.46, 116,051.10 and 32,990.40 is: 49,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,363.46 : 116,051.10 = 32,990.40 : x
  2. Step 2: Convert to fraction form
    77,363.46/116,051.10 = 32,990.40/x
  3. Step 3: Cross multiply
    77,363.46x = 116,051.10 × 32,990.40
  4. Step 4: Simplify right side
    77,363.46x = 3,828,572,209.44
  5. Step 5: Solve for x
    x = 3,828,572,209.44/77,363.46
  6. Step 6: Final answer
    x = 49,488.12

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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.