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Finding the Fourth Proportional to 77,648.60, 116,475.49 and 21,484.01

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Solution

The fourth proportional to 77,648.60, 116,475.49 and 21,484.01 is: 32,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.60 : 116,475.49 = 21,484.01 : x
  2. Step 2: Convert to fraction form
    77,648.60/116,475.49 = 21,484.01/x
  3. Step 3: Cross multiply
    77,648.60x = 116,475.49 × 21,484.01
  4. Step 4: Simplify right side
    77,648.60x = 2,502,360,591.91
  5. Step 5: Solve for x
    x = 2,502,360,591.91/77,648.60
  6. Step 6: Final answer
    x = 32,226.73

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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.