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Finding the Fourth Proportional to 65,055.50, 89,784.55 and 38,200.51

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Solution

The fourth proportional to 65,055.50, 89,784.55 and 38,200.51 is: 52,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,055.50 : 89,784.55 = 38,200.51 : x
  2. Step 2: Convert to fraction form
    65,055.50/89,784.55 = 38,200.51/x
  3. Step 3: Cross multiply
    65,055.50x = 89,784.55 × 38,200.51
  4. Step 4: Simplify right side
    65,055.50x = 3,429,815,760.10
  5. Step 5: Solve for x
    x = 3,429,815,760.10/65,055.50
  6. Step 6: Final answer
    x = 52,721.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.