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Finding the Fourth Proportional to 98,516.69, 147,798.52 and 31,956.96

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Solution

The fourth proportional to 98,516.69, 147,798.52 and 31,956.96 is: 47,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516.69 : 147,798.52 = 31,956.96 : x
  2. Step 2: Convert to fraction form
    98,516.69/147,798.52 = 31,956.96/x
  3. Step 3: Cross multiply
    98,516.69x = 147,798.52 × 31,956.96
  4. Step 4: Simplify right side
    98,516.69x = 4,723,192,045.81
  5. Step 5: Solve for x
    x = 4,723,192,045.81/98,516.69
  6. Step 6: Final answer
    x = 47,943.07

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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.