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Finding the Fourth Proportional to 56,437.50, 77,883.76 and 31,287

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Solution

The fourth proportional to 56,437.50, 77,883.76 and 31,287 is: 43,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,437.50 : 77,883.76 = 31,287 : x
  2. Step 2: Convert to fraction form
    56,437.50/77,883.76 = 31,287/x
  3. Step 3: Cross multiply
    56,437.50x = 77,883.76 × 31,287
  4. Step 4: Simplify right side
    56,437.50x = 2,436,749,199.12
  5. Step 5: Solve for x
    x = 2,436,749,199.12/56,437.50
  6. Step 6: Final answer
    x = 43,176.07

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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.