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Finding the Fourth Proportional to 98,599.50, 147,867.93 and 32,024.22

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Solution

The fourth proportional to 98,599.50, 147,867.93 and 32,024.22 is: 48,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599.50 : 147,867.93 = 32,024.22 : x
  2. Step 2: Convert to fraction form
    98,599.50/147,867.93 = 32,024.22/x
  3. Step 3: Cross multiply
    98,599.50x = 147,867.93 × 32,024.22
  4. Step 4: Simplify right side
    98,599.50x = 4,735,355,121.26
  5. Step 5: Solve for x
    x = 4,735,355,121.26/98,599.50
  6. Step 6: Final answer
    x = 48,026.16

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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.