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Finding the Fourth Proportional to 47,875.84, 71,829.94 and 21,218.19

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Solution

The fourth proportional to 47,875.84, 71,829.94 and 21,218.19 is: 31,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.84 : 71,829.94 = 21,218.19 : x
  2. Step 2: Convert to fraction form
    47,875.84/71,829.94 = 21,218.19/x
  3. Step 3: Cross multiply
    47,875.84x = 71,829.94 × 21,218.19
  4. Step 4: Simplify right side
    47,875.84x = 1,524,101,031.98
  5. Step 5: Solve for x
    x = 1,524,101,031.98/47,875.84
  6. Step 6: Final answer
    x = 31,834.45

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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.