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Finding the Fourth Proportional to 56,368.32, 77,784 and 31,217.28

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Solution

The fourth proportional to 56,368.32, 77,784 and 31,217.28 is: 43,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,368.32 : 77,784 = 31,217.28 : x
  2. Step 2: Convert to fraction form
    56,368.32/77,784 = 31,217.28/x
  3. Step 3: Cross multiply
    56,368.32x = 77,784 × 31,217.28
  4. Step 4: Simplify right side
    56,368.32x = 2,428,204,907.52
  5. Step 5: Solve for x
    x = 2,428,204,907.52/56,368.32
  6. Step 6: Final answer
    x = 43,077.48

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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.