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Finding the Fourth Proportional to 54,885.16, 75,743.02 and 31,011.36

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Solution

The fourth proportional to 54,885.16, 75,743.02 and 31,011.36 is: 42,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885.16 : 75,743.02 = 31,011.36 : x
  2. Step 2: Convert to fraction form
    54,885.16/75,743.02 = 31,011.36/x
  3. Step 3: Cross multiply
    54,885.16x = 75,743.02 × 31,011.36
  4. Step 4: Simplify right side
    54,885.16x = 2,348,894,060.71
  5. Step 5: Solve for x
    x = 2,348,894,060.71/54,885.16
  6. Step 6: Final answer
    x = 42,796.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.