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Finding the Fourth Proportional to 77,664.96, 116,484.48 and 22,248

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Solution

The fourth proportional to 77,664.96, 116,484.48 and 22,248 is: 33,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664.96 : 116,484.48 = 22,248 : x
  2. Step 2: Convert to fraction form
    77,664.96/116,484.48 = 22,248/x
  3. Step 3: Cross multiply
    77,664.96x = 116,484.48 × 22,248
  4. Step 4: Simplify right side
    77,664.96x = 2,591,546,711.04
  5. Step 5: Solve for x
    x = 2,591,546,711.04/77,664.96
  6. Step 6: Final answer
    x = 33,368.29

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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.