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Finding the Fourth Proportional to 56,052.30, 77,349.87 and 35,880.78

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Solution

The fourth proportional to 56,052.30, 77,349.87 and 35,880.78 is: 49,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,052.30 : 77,349.87 = 35,880.78 : x
  2. Step 2: Convert to fraction form
    56,052.30/77,349.87 = 35,880.78/x
  3. Step 3: Cross multiply
    56,052.30x = 77,349.87 × 35,880.78
  4. Step 4: Simplify right side
    56,052.30x = 2,775,373,668.50
  5. Step 5: Solve for x
    x = 2,775,373,668.50/56,052.30
  6. Step 6: Final answer
    x = 49,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.