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Finding the Fourth Proportional to 52,104.93, 71,904.71 and 28,232.25

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Solution

The fourth proportional to 52,104.93, 71,904.71 and 28,232.25 is: 38,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.93 : 71,904.71 = 28,232.25 : x
  2. Step 2: Convert to fraction form
    52,104.93/71,904.71 = 28,232.25/x
  3. Step 3: Cross multiply
    52,104.93x = 71,904.71 × 28,232.25
  4. Step 4: Simplify right side
    52,104.93x = 2,030,031,607.74
  5. Step 5: Solve for x
    x = 2,030,031,607.74/52,104.93
  6. Step 6: Final answer
    x = 38,960.45

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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.