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Finding the Fourth Proportional to 52,194, 72,025.62 and 28,319.76

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Solution

The fourth proportional to 52,194, 72,025.62 and 28,319.76 is: 39,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194 : 72,025.62 = 28,319.76 : x
  2. Step 2: Convert to fraction form
    52,194/72,025.62 = 28,319.76/x
  3. Step 3: Cross multiply
    52,194x = 72,025.62 × 28,319.76
  4. Step 4: Simplify right side
    52,194x = 2,039,748,272.25
  5. Step 5: Solve for x
    x = 2,039,748,272.25/52,194
  6. Step 6: Final answer
    x = 39,080.13

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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.