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Finding the Fourth Proportional to 98,613.88, 147,889.50 and 32,038.63

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Solution

The fourth proportional to 98,613.88, 147,889.50 and 32,038.63 is: 48,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,613.88 : 147,889.50 = 32,038.63 : x
  2. Step 2: Convert to fraction form
    98,613.88/147,889.50 = 32,038.63/x
  3. Step 3: Cross multiply
    98,613.88x = 147,889.50 × 32,038.63
  4. Step 4: Simplify right side
    98,613.88x = 4,738,176,971.39
  5. Step 5: Solve for x
    x = 4,738,176,971.39/98,613.88
  6. Step 6: Final answer
    x = 48,047.77

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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.