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Finding the Fourth Proportional to 35,061.80, 52,587 and 12,869.67

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Solution

The fourth proportional to 35,061.80, 52,587 and 12,869.67 is: 19,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,061.80 : 52,587 = 12,869.67 : x
  2. Step 2: Convert to fraction form
    35,061.80/52,587 = 12,869.67/x
  3. Step 3: Cross multiply
    35,061.80x = 52,587 × 12,869.67
  4. Step 4: Simplify right side
    35,061.80x = 676,777,336.29
  5. Step 5: Solve for x
    x = 676,777,336.29/35,061.80
  6. Step 6: Final answer
    x = 19,302.41

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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.