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Finding the Fourth Proportional to 35,981.74, 53,967.73 and 9,688.06

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Solution

The fourth proportional to 35,981.74, 53,967.73 and 9,688.06 is: 14,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981.74 : 53,967.73 = 9,688.06 : x
  2. Step 2: Convert to fraction form
    35,981.74/53,967.73 = 9,688.06/x
  3. Step 3: Cross multiply
    35,981.74x = 53,967.73 × 9,688.06
  4. Step 4: Simplify right side
    35,981.74x = 522,842,606.30
  5. Step 5: Solve for x
    x = 522,842,606.30/35,981.74
  6. Step 6: Final answer
    x = 14,530.78

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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.