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Finding the Fourth Proportional to 109,788.40, 164,690.70 and 39,658.60

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Solution

The fourth proportional to 109,788.40, 164,690.70 and 39,658.60 is: 59,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,788.40 : 164,690.70 = 39,658.60 : x
  2. Step 2: Convert to fraction form
    109,788.40/164,690.70 = 39,658.60/x
  3. Step 3: Cross multiply
    109,788.40x = 164,690.70 × 39,658.60
  4. Step 4: Simplify right side
    109,788.40x = 6,531,402,595.02
  5. Step 5: Solve for x
    x = 6,531,402,595.02/109,788.40
  6. Step 6: Final answer
    x = 59,490.83

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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.