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Finding the Fourth Proportional to 35,657.86, 53,475.84 and 24,635.38

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Solution

The fourth proportional to 35,657.86, 53,475.84 and 24,635.38 is: 36,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.86 : 53,475.84 = 24,635.38 : x
  2. Step 2: Convert to fraction form
    35,657.86/53,475.84 = 24,635.38/x
  3. Step 3: Cross multiply
    35,657.86x = 53,475.84 × 24,635.38
  4. Step 4: Simplify right side
    35,657.86x = 1,317,397,639.22
  5. Step 5: Solve for x
    x = 1,317,397,639.22/35,657.86
  6. Step 6: Final answer
    x = 36,945.50

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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.