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Finding the Fourth Proportional to 35,857.47, 53,769.50 and 13,656.99

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Solution

The fourth proportional to 35,857.47, 53,769.50 and 13,656.99 is: 20,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.47 : 53,769.50 = 13,656.99 : x
  2. Step 2: Convert to fraction form
    35,857.47/53,769.50 = 13,656.99/x
  3. Step 3: Cross multiply
    35,857.47x = 53,769.50 × 13,656.99
  4. Step 4: Simplify right side
    35,857.47x = 734,329,523.81
  5. Step 5: Solve for x
    x = 734,329,523.81/35,857.47
  6. Step 6: Final answer
    x = 20,479.12

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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.