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Finding the Fourth Proportional to 56,446.40, 77,900.80 and 31,304

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Solution

The fourth proportional to 56,446.40, 77,900.80 and 31,304 is: 43,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.40 : 77,900.80 = 31,304 : x
  2. Step 2: Convert to fraction form
    56,446.40/77,900.80 = 31,304/x
  3. Step 3: Cross multiply
    56,446.40x = 77,900.80 × 31,304
  4. Step 4: Simplify right side
    56,446.40x = 2,438,606,643.20
  5. Step 5: Solve for x
    x = 2,438,606,643.20/56,446.40
  6. Step 6: Final answer
    x = 43,202.16

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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.