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Finding the Fourth Proportional to 101,904.24, 152,797.50 and 39,501.84

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Solution

The fourth proportional to 101,904.24, 152,797.50 and 39,501.84 is: 59,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904.24 : 152,797.50 = 39,501.84 : x
  2. Step 2: Convert to fraction form
    101,904.24/152,797.50 = 39,501.84/x
  3. Step 3: Cross multiply
    101,904.24x = 152,797.50 × 39,501.84
  4. Step 4: Simplify right side
    101,904.24x = 6,035,782,397.40
  5. Step 5: Solve for x
    x = 6,035,782,397.40/101,904.24
  6. Step 6: Final answer
    x = 59,229.94

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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.