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Finding the Fourth Proportional to 29,403, 40,577.94 and 16,657.38

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Solution

The fourth proportional to 29,403, 40,577.94 and 16,657.38 is: 22,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403 : 40,577.94 = 16,657.38 : x
  2. Step 2: Convert to fraction form
    29,403/40,577.94 = 16,657.38/x
  3. Step 3: Cross multiply
    29,403x = 40,577.94 × 16,657.38
  4. Step 4: Simplify right side
    29,403x = 675,922,166.20
  5. Step 5: Solve for x
    x = 675,922,166.20/29,403
  6. Step 6: Final answer
    x = 22,988.20

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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.