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Finding the Fourth Proportional to 35,981.34, 53,965.93 and 9,680.23

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Solution

The fourth proportional to 35,981.34, 53,965.93 and 9,680.23 is: 14,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981.34 : 53,965.93 = 9,680.23 : x
  2. Step 2: Convert to fraction form
    35,981.34/53,965.93 = 9,680.23/x
  3. Step 3: Cross multiply
    35,981.34x = 53,965.93 × 9,680.23
  4. Step 4: Simplify right side
    35,981.34x = 522,402,614.56
  5. Step 5: Solve for x
    x = 522,402,614.56/35,981.34
  6. Step 6: Final answer
    x = 14,518.71

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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.