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Finding the Fourth Proportional to 30,100.52, 45,178.50 and 15,320

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Solution

The fourth proportional to 30,100.52, 45,178.50 and 15,320 is: 22,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.52 : 45,178.50 = 15,320 : x
  2. Step 2: Convert to fraction form
    30,100.52/45,178.50 = 15,320/x
  3. Step 3: Cross multiply
    30,100.52x = 45,178.50 × 15,320
  4. Step 4: Simplify right side
    30,100.52x = 692,134,620
  5. Step 5: Solve for x
    x = 692,134,620/30,100.52
  6. Step 6: Final answer
    x = 22,994.11

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