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Finding the Fourth Proportional to 40,206.48, 60,316.32 and 12,498

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Solution

The fourth proportional to 40,206.48, 60,316.32 and 12,498 is: 18,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.48 : 60,316.32 = 12,498 : x
  2. Step 2: Convert to fraction form
    40,206.48/60,316.32 = 12,498/x
  3. Step 3: Cross multiply
    40,206.48x = 60,316.32 × 12,498
  4. Step 4: Simplify right side
    40,206.48x = 753,833,367.36
  5. Step 5: Solve for x
    x = 753,833,367.36/40,206.48
  6. Step 6: Final answer
    x = 18,749.05

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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.