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Finding the Fourth Proportional to 56,256.88, 77,649.88 and 35,023.68

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Solution

The fourth proportional to 56,256.88, 77,649.88 and 35,023.68 is: 48,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,256.88 : 77,649.88 = 35,023.68 : x
  2. Step 2: Convert to fraction form
    56,256.88/77,649.88 = 35,023.68/x
  3. Step 3: Cross multiply
    56,256.88x = 77,649.88 × 35,023.68
  4. Step 4: Simplify right side
    56,256.88x = 2,719,584,549.16
  5. Step 5: Solve for x
    x = 2,719,584,549.16/56,256.88
  6. Step 6: Final answer
    x = 48,342.26

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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.