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Finding the Fourth Proportional to 29,545.68, 40,777.38 and 17,616

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Solution

The fourth proportional to 29,545.68, 40,777.38 and 17,616 is: 24,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545.68 : 40,777.38 = 17,616 : x
  2. Step 2: Convert to fraction form
    29,545.68/40,777.38 = 17,616/x
  3. Step 3: Cross multiply
    29,545.68x = 40,777.38 × 17,616
  4. Step 4: Simplify right side
    29,545.68x = 718,334,326.08
  5. Step 5: Solve for x
    x = 718,334,326.08/29,545.68
  6. Step 6: Final answer
    x = 24,312.67

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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.