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Finding the Fourth Proportional to 35,707.68, 53,569.62 and 24,618.78

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Solution

The fourth proportional to 35,707.68, 53,569.62 and 24,618.78 is: 36,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.68 : 53,569.62 = 24,618.78 : x
  2. Step 2: Convert to fraction form
    35,707.68/53,569.62 = 24,618.78/x
  3. Step 3: Cross multiply
    35,707.68x = 53,569.62 × 24,618.78
  4. Step 4: Simplify right side
    35,707.68x = 1,318,818,689.46
  5. Step 5: Solve for x
    x = 1,318,818,689.46/35,707.68
  6. Step 6: Final answer
    x = 36,933.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.