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Finding the Fourth Proportional to 102,000.24, 152,941.50 and 39,597.84

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Solution

The fourth proportional to 102,000.24, 152,941.50 and 39,597.84 is: 59,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.24 : 152,941.50 = 39,597.84 : x
  2. Step 2: Convert to fraction form
    102,000.24/152,941.50 = 39,597.84/x
  3. Step 3: Cross multiply
    102,000.24x = 152,941.50 × 39,597.84
  4. Step 4: Simplify right side
    102,000.24x = 6,056,153,046.36
  5. Step 5: Solve for x
    x = 6,056,153,046.36/102,000.24
  6. Step 6: Final answer
    x = 59,373.91

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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.