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Finding the Fourth Proportional to 98,995.10, 148,591.50 and 54,642.74

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Solution

The fourth proportional to 98,995.10, 148,591.50 and 54,642.74 is: 82,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,995.10 : 148,591.50 = 54,642.74 : x
  2. Step 2: Convert to fraction form
    98,995.10/148,591.50 = 54,642.74/x
  3. Step 3: Cross multiply
    98,995.10x = 148,591.50 × 54,642.74
  4. Step 4: Simplify right side
    98,995.10x = 8,119,446,700.71
  5. Step 5: Solve for x
    x = 8,119,446,700.71/98,995.10
  6. Step 6: Final answer
    x = 82,018.67

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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.