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Finding the Fourth Proportional to 109,869.84, 164,804.76 and 39,732.75

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Solution

The fourth proportional to 109,869.84, 164,804.76 and 39,732.75 is: 59,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,869.84 : 164,804.76 = 39,732.75 : x
  2. Step 2: Convert to fraction form
    109,869.84/164,804.76 = 39,732.75/x
  3. Step 3: Cross multiply
    109,869.84x = 164,804.76 × 39,732.75
  4. Step 4: Simplify right side
    109,869.84x = 6,548,146,327.89
  5. Step 5: Solve for x
    x = 6,548,146,327.89/109,869.84
  6. Step 6: Final answer
    x = 59,599.13

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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.