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Finding the Fourth Proportional to 35,881.40, 53,821.20 and 9,585.56

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Solution

The fourth proportional to 35,881.40, 53,821.20 and 9,585.56 is: 14,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.40 : 53,821.20 = 9,585.56 : x
  2. Step 2: Convert to fraction form
    35,881.40/53,821.20 = 9,585.56/x
  3. Step 3: Cross multiply
    35,881.40x = 53,821.20 × 9,585.56
  4. Step 4: Simplify right side
    35,881.40x = 515,906,341.87
  5. Step 5: Solve for x
    x = 515,906,341.87/35,881.40
  6. Step 6: Final answer
    x = 14,378.10

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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.