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Finding the Fourth Proportional to 98,478, 135,900.72 and 53,766

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Solution

The fourth proportional to 98,478, 135,900.72 and 53,766 is: 74,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478 : 135,900.72 = 53,766 : x
  2. Step 2: Convert to fraction form
    98,478/135,900.72 = 53,766/x
  3. Step 3: Cross multiply
    98,478x = 135,900.72 × 53,766
  4. Step 4: Simplify right side
    98,478x = 7,306,838,111.52
  5. Step 5: Solve for x
    x = 7,306,838,111.52/98,478
  6. Step 6: Final answer
    x = 74,197.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.