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Finding the Fourth Proportional to 70,852.32, 97,781.04 and 41,044.32

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Solution

The fourth proportional to 70,852.32, 97,781.04 and 41,044.32 is: 56,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.32 : 97,781.04 = 41,044.32 : x
  2. Step 2: Convert to fraction form
    70,852.32/97,781.04 = 41,044.32/x
  3. Step 3: Cross multiply
    70,852.32x = 97,781.04 × 41,044.32
  4. Step 4: Simplify right side
    70,852.32x = 4,013,356,295.69
  5. Step 5: Solve for x
    x = 4,013,356,295.69/70,852.32
  6. Step 6: Final answer
    x = 56,643.96

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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.