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Finding the Fourth Proportional to 55,707.69, 83,566.53 and 15,727.10

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Solution

The fourth proportional to 55,707.69, 83,566.53 and 15,727.10 is: 23,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.69 : 83,566.53 = 15,727.10 : x
  2. Step 2: Convert to fraction form
    55,707.69/83,566.53 = 15,727.10/x
  3. Step 3: Cross multiply
    55,707.69x = 83,566.53 × 15,727.10
  4. Step 4: Simplify right side
    55,707.69x = 1,314,258,756.13
  5. Step 5: Solve for x
    x = 1,314,258,756.13/55,707.69
  6. Step 6: Final answer
    x = 23,592.05

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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.