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Finding the Fourth Proportional to 98,976.95, 148,486.43 and 32,412.16

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Solution

The fourth proportional to 98,976.95, 148,486.43 and 32,412.16 is: 48,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976.95 : 148,486.43 = 32,412.16 : x
  2. Step 2: Convert to fraction form
    98,976.95/148,486.43 = 32,412.16/x
  3. Step 3: Cross multiply
    98,976.95x = 148,486.43 × 32,412.16
  4. Step 4: Simplify right side
    98,976.95x = 4,812,765,926.99
  5. Step 5: Solve for x
    x = 4,812,765,926.99/98,976.95
  6. Step 6: Final answer
    x = 48,625.12

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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.