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Finding the Fourth Proportional to 96,877, 145,315.50 and 31,213

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Solution

The fourth proportional to 96,877, 145,315.50 and 31,213 is: 46,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,877 : 145,315.50 = 31,213 : x
  2. Step 2: Convert to fraction form
    96,877/145,315.50 = 31,213/x
  3. Step 3: Cross multiply
    96,877x = 145,315.50 × 31,213
  4. Step 4: Simplify right side
    96,877x = 4,535,732,701.50
  5. Step 5: Solve for x
    x = 4,535,732,701.50/96,877
  6. Step 6: Final answer
    x = 46,819.50

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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.