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Finding the Fourth Proportional to 73,929.60, 110,894.40 and 24,681.60

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Solution

The fourth proportional to 73,929.60, 110,894.40 and 24,681.60 is: 37,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,929.60 : 110,894.40 = 24,681.60 : x
  2. Step 2: Convert to fraction form
    73,929.60/110,894.40 = 24,681.60/x
  3. Step 3: Cross multiply
    73,929.60x = 110,894.40 × 24,681.60
  4. Step 4: Simplify right side
    73,929.60x = 2,737,051,223.04
  5. Step 5: Solve for x
    x = 2,737,051,223.04/73,929.60
  6. Step 6: Final answer
    x = 37,022.40

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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.