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Finding the Fourth Proportional to 98,014.60, 146,932.98 and 35,641

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Solution

The fourth proportional to 98,014.60, 146,932.98 and 35,641 is: 53,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014.60 : 146,932.98 = 35,641 : x
  2. Step 2: Convert to fraction form
    98,014.60/146,932.98 = 35,641/x
  3. Step 3: Cross multiply
    98,014.60x = 146,932.98 × 35,641
  4. Step 4: Simplify right side
    98,014.60x = 5,236,838,340.18
  5. Step 5: Solve for x
    x = 5,236,838,340.18/98,014.60
  6. Step 6: Final answer
    x = 53,429.17

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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.