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Finding the Fourth Proportional to 48,394.84, 72,602.52 and 17,230

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Solution

The fourth proportional to 48,394.84, 72,602.52 and 17,230 is: 25,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,394.84 : 72,602.52 = 17,230 : x
  2. Step 2: Convert to fraction form
    48,394.84/72,602.52 = 17,230/x
  3. Step 3: Cross multiply
    48,394.84x = 72,602.52 × 17,230
  4. Step 4: Simplify right side
    48,394.84x = 1,250,941,419.60
  5. Step 5: Solve for x
    x = 1,250,941,419.60/48,394.84
  6. Step 6: Final answer
    x = 25,848.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.