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Finding the Fourth Proportional to 56,370.32, 77,794.08 and 31,220

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Solution

The fourth proportional to 56,370.32, 77,794.08 and 31,220 is: 43,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,370.32 : 77,794.08 = 31,220 : x
  2. Step 2: Convert to fraction form
    56,370.32/77,794.08 = 31,220/x
  3. Step 3: Cross multiply
    56,370.32x = 77,794.08 × 31,220
  4. Step 4: Simplify right side
    56,370.32x = 2,428,731,177.60
  5. Step 5: Solve for x
    x = 2,428,731,177.60/56,370.32
  6. Step 6: Final answer
    x = 43,085.28

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