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Finding the Fourth Proportional to 45,006.48, 67,510.80 and 13,842

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Solution

The fourth proportional to 45,006.48, 67,510.80 and 13,842 is: 20,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,006.48 : 67,510.80 = 13,842 : x
  2. Step 2: Convert to fraction form
    45,006.48/67,510.80 = 13,842/x
  3. Step 3: Cross multiply
    45,006.48x = 67,510.80 × 13,842
  4. Step 4: Simplify right side
    45,006.48x = 934,484,493.60
  5. Step 5: Solve for x
    x = 934,484,493.60/45,006.48
  6. Step 6: Final answer
    x = 20,763.33

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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.