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Finding the Fourth Proportional to 106,370.47, 159,554.98 and 32,498.47

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Solution

The fourth proportional to 106,370.47, 159,554.98 and 32,498.47 is: 48,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,370.47 : 159,554.98 = 32,498.47 : x
  2. Step 2: Convert to fraction form
    106,370.47/159,554.98 = 32,498.47/x
  3. Step 3: Cross multiply
    106,370.47x = 159,554.98 × 32,498.47
  4. Step 4: Simplify right side
    106,370.47x = 5,185,292,730.88
  5. Step 5: Solve for x
    x = 5,185,292,730.88/106,370.47
  6. Step 6: Final answer
    x = 48,747.48

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1.5x scale

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.