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Finding the Fourth Proportional to 56,227.50, 77,594.04 and 31,077

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Solution

The fourth proportional to 56,227.50, 77,594.04 and 31,077 is: 42,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,227.50 : 77,594.04 = 31,077 : x
  2. Step 2: Convert to fraction form
    56,227.50/77,594.04 = 31,077/x
  3. Step 3: Cross multiply
    56,227.50x = 77,594.04 × 31,077
  4. Step 4: Simplify right side
    56,227.50x = 2,411,389,981.08
  5. Step 5: Solve for x
    x = 2,411,389,981.08/56,227.50
  6. Step 6: Final answer
    x = 42,886.31

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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.