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Finding the Fourth Proportional to 73,762.40, 110,643.60 and 24,514.40

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Solution

The fourth proportional to 73,762.40, 110,643.60 and 24,514.40 is: 36,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.40 : 110,643.60 = 24,514.40 : x
  2. Step 2: Convert to fraction form
    73,762.40/110,643.60 = 24,514.40/x
  3. Step 3: Cross multiply
    73,762.40x = 110,643.60 × 24,514.40
  4. Step 4: Simplify right side
    73,762.40x = 2,712,361,467.84
  5. Step 5: Solve for x
    x = 2,712,361,467.84/73,762.40
  6. Step 6: Final answer
    x = 36,771.60

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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.