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Finding the Fourth Proportional to 50,041.60, 69,055.68 and 27,684.16

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Solution

The fourth proportional to 50,041.60, 69,055.68 and 27,684.16 is: 38,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,041.60 : 69,055.68 = 27,684.16 : x
  2. Step 2: Convert to fraction form
    50,041.60/69,055.68 = 27,684.16/x
  3. Step 3: Cross multiply
    50,041.60x = 69,055.68 × 27,684.16
  4. Step 4: Simplify right side
    50,041.60x = 1,911,748,494.03
  5. Step 5: Solve for x
    x = 1,911,748,494.03/50,041.60
  6. Step 6: Final answer
    x = 38,203.18

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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.