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Finding the Fourth Proportional to 56,442.96, 77,894.79 and 31,292.46

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Solution

The fourth proportional to 56,442.96, 77,894.79 and 31,292.46 is: 43,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.96 : 77,894.79 = 31,292.46 : x
  2. Step 2: Convert to fraction form
    56,442.96/77,894.79 = 31,292.46/x
  3. Step 3: Cross multiply
    56,442.96x = 77,894.79 × 31,292.46
  4. Step 4: Simplify right side
    56,442.96x = 2,437,519,600.28
  5. Step 5: Solve for x
    x = 2,437,519,600.28/56,442.96
  6. Step 6: Final answer
    x = 43,185.54

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1.5x scale

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.