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Finding the Fourth Proportional to 98,352, 147,542.40 and 31,770

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Solution

The fourth proportional to 98,352, 147,542.40 and 31,770 is: 47,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,352 : 147,542.40 = 31,770 : x
  2. Step 2: Convert to fraction form
    98,352/147,542.40 = 31,770/x
  3. Step 3: Cross multiply
    98,352x = 147,542.40 × 31,770
  4. Step 4: Simplify right side
    98,352x = 4,687,422,048
  5. Step 5: Solve for x
    x = 4,687,422,048/98,352
  6. Step 6: Final answer
    x = 47,659.65

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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.