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Finding the Fourth Proportional to 70,070.16, 96,648.84 and 41,754

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Solution

The fourth proportional to 70,070.16, 96,648.84 and 41,754 is: 57,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070.16 : 96,648.84 = 41,754 : x
  2. Step 2: Convert to fraction form
    70,070.16/96,648.84 = 41,754/x
  3. Step 3: Cross multiply
    70,070.16x = 96,648.84 × 41,754
  4. Step 4: Simplify right side
    70,070.16x = 4,035,475,665.36
  5. Step 5: Solve for x
    x = 4,035,475,665.36/70,070.16
  6. Step 6: Final answer
    x = 57,591.93

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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.