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Finding the Fourth Proportional to 30,829.59, 42,545.03 and 17,401.41

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Solution

The fourth proportional to 30,829.59, 42,545.03 and 17,401.41 is: 24,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.59 : 42,545.03 = 17,401.41 : x
  2. Step 2: Convert to fraction form
    30,829.59/42,545.03 = 17,401.41/x
  3. Step 3: Cross multiply
    30,829.59x = 42,545.03 × 17,401.41
  4. Step 4: Simplify right side
    30,829.59x = 740,343,510.49
  5. Step 5: Solve for x
    x = 740,343,510.49/30,829.59
  6. Step 6: Final answer
    x = 24,014.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.