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Finding the Fourth Proportional to 98,215.50, 147,326.90 and 31,656.59

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Solution

The fourth proportional to 98,215.50, 147,326.90 and 31,656.59 is: 47,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,215.50 : 147,326.90 = 31,656.59 : x
  2. Step 2: Convert to fraction form
    98,215.50/147,326.90 = 31,656.59/x
  3. Step 3: Cross multiply
    98,215.50x = 147,326.90 × 31,656.59
  4. Step 4: Simplify right side
    98,215.50x = 4,663,867,104.90
  5. Step 5: Solve for x
    x = 4,663,867,104.90/98,215.50
  6. Step 6: Final answer
    x = 47,486.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.