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Finding the Fourth Proportional to 98,432.50, 147,670.28 and 31,879.35

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Solution

The fourth proportional to 98,432.50, 147,670.28 and 31,879.35 is: 47,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432.50 : 147,670.28 = 31,879.35 : x
  2. Step 2: Convert to fraction form
    98,432.50/147,670.28 = 31,879.35/x
  3. Step 3: Cross multiply
    98,432.50x = 147,670.28 × 31,879.35
  4. Step 4: Simplify right side
    98,432.50x = 4,707,633,054.63
  5. Step 5: Solve for x
    x = 4,707,633,054.63/98,432.50
  6. Step 6: Final answer
    x = 47,826.00

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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.