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Finding the Fourth Proportional to 56,495.37, 77,963.39 and 31,002.16

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Solution

The fourth proportional to 56,495.37, 77,963.39 and 31,002.16 is: 42,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495.37 : 77,963.39 = 31,002.16 : x
  2. Step 2: Convert to fraction form
    56,495.37/77,963.39 = 31,002.16/x
  3. Step 3: Cross multiply
    56,495.37x = 77,963.39 × 31,002.16
  4. Step 4: Simplify right side
    56,495.37x = 2,417,033,316.25
  5. Step 5: Solve for x
    x = 2,417,033,316.25/56,495.37
  6. Step 6: Final answer
    x = 42,782.86

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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.