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Finding the Fourth Proportional to 56,297.32, 77,686.02 and 31,146.28

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Solution

The fourth proportional to 56,297.32, 77,686.02 and 31,146.28 is: 42,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,297.32 : 77,686.02 = 31,146.28 : x
  2. Step 2: Convert to fraction form
    56,297.32/77,686.02 = 31,146.28/x
  3. Step 3: Cross multiply
    56,297.32x = 77,686.02 × 31,146.28
  4. Step 4: Simplify right side
    56,297.32x = 2,419,630,531.01
  5. Step 5: Solve for x
    x = 2,419,630,531.01/56,297.32
  6. Step 6: Final answer
    x = 42,979.50

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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.