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Finding the Fourth Proportional to 59,647.84, 89,428 and 31,545.12

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Solution

The fourth proportional to 59,647.84, 89,428 and 31,545.12 is: 47,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,647.84 : 89,428 = 31,545.12 : x
  2. Step 2: Convert to fraction form
    59,647.84/89,428 = 31,545.12/x
  3. Step 3: Cross multiply
    59,647.84x = 89,428 × 31,545.12
  4. Step 4: Simplify right side
    59,647.84x = 2,821,016,991.36
  5. Step 5: Solve for x
    x = 2,821,016,991.36/59,647.84
  6. Step 6: Final answer
    x = 47,294.54

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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.