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Finding the Fourth Proportional to 98,416.60, 147,524.10 and 48,419.80

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Solution

The fourth proportional to 98,416.60, 147,524.10 and 48,419.80 is: 72,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.60 : 147,524.10 = 48,419.80 : x
  2. Step 2: Convert to fraction form
    98,416.60/147,524.10 = 48,419.80/x
  3. Step 3: Cross multiply
    98,416.60x = 147,524.10 × 48,419.80
  4. Step 4: Simplify right side
    98,416.60x = 7,143,087,417.18
  5. Step 5: Solve for x
    x = 7,143,087,417.18/98,416.60
  6. Step 6: Final answer
    x = 72,580.11

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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.