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Finding the Fourth Proportional to 101,184.95, 151,784.76 and 38,855.45

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Solution

The fourth proportional to 101,184.95, 151,784.76 and 38,855.45 is: 58,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,184.95 : 151,784.76 = 38,855.45 : x
  2. Step 2: Convert to fraction form
    101,184.95/151,784.76 = 38,855.45/x
  3. Step 3: Cross multiply
    101,184.95x = 151,784.76 × 38,855.45
  4. Step 4: Simplify right side
    101,184.95x = 5,897,664,394.02
  5. Step 5: Solve for x
    x = 5,897,664,394.02/101,184.95
  6. Step 6: Final answer
    x = 58,285.99

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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.