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Finding the Fourth Proportional to 56,274.48, 77,654.88 and 31,122

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Solution

The fourth proportional to 56,274.48, 77,654.88 and 31,122 is: 42,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,274.48 : 77,654.88 = 31,122 : x
  2. Step 2: Convert to fraction form
    56,274.48/77,654.88 = 31,122/x
  3. Step 3: Cross multiply
    56,274.48x = 77,654.88 × 31,122
  4. Step 4: Simplify right side
    56,274.48x = 2,416,775,175.36
  5. Step 5: Solve for x
    x = 2,416,775,175.36/56,274.48
  6. Step 6: Final answer
    x = 42,946.20

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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.