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Finding the Fourth Proportional to 77,656.64, 116,484.64 and 22,252.64

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Solution

The fourth proportional to 77,656.64, 116,484.64 and 22,252.64 is: 33,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656.64 : 116,484.64 = 22,252.64 : x
  2. Step 2: Convert to fraction form
    77,656.64/116,484.64 = 22,252.64/x
  3. Step 3: Cross multiply
    77,656.64x = 116,484.64 × 22,252.64
  4. Step 4: Simplify right side
    77,656.64x = 2,592,090,759.45
  5. Step 5: Solve for x
    x = 2,592,090,759.45/77,656.64
  6. Step 6: Final answer
    x = 33,378.87

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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.