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Finding the Fourth Proportional to 52,655.32, 72,656.22 and 30,295

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Solution

The fourth proportional to 52,655.32, 72,656.22 and 30,295 is: 41,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.32 : 72,656.22 = 30,295 : x
  2. Step 2: Convert to fraction form
    52,655.32/72,656.22 = 30,295/x
  3. Step 3: Cross multiply
    52,655.32x = 72,656.22 × 30,295
  4. Step 4: Simplify right side
    52,655.32x = 2,201,120,184.90
  5. Step 5: Solve for x
    x = 2,201,120,184.90/52,655.32
  6. Step 6: Final answer
    x = 41,802.43

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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.