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Finding the Fourth Proportional to 56,232.48, 77,594.16 and 31,077.60

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Solution

The fourth proportional to 56,232.48, 77,594.16 and 31,077.60 is: 42,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,232.48 : 77,594.16 = 31,077.60 : x
  2. Step 2: Convert to fraction form
    56,232.48/77,594.16 = 31,077.60/x
  3. Step 3: Cross multiply
    56,232.48x = 77,594.16 × 31,077.60
  4. Step 4: Simplify right side
    56,232.48x = 2,411,440,266.82
  5. Step 5: Solve for x
    x = 2,411,440,266.82/56,232.48
  6. Step 6: Final answer
    x = 42,883.41

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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.