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Finding the Fourth Proportional to 97,017.16, 133,883.16 and 54,576

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Solution

The fourth proportional to 97,017.16, 133,883.16 and 54,576 is: 75,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,017.16 : 133,883.16 = 54,576 : x
  2. Step 2: Convert to fraction form
    97,017.16/133,883.16 = 54,576/x
  3. Step 3: Cross multiply
    97,017.16x = 133,883.16 × 54,576
  4. Step 4: Simplify right side
    97,017.16x = 7,306,807,340.16
  5. Step 5: Solve for x
    x = 7,306,807,340.16/97,017.16
  6. Step 6: Final answer
    x = 75,314.59

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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.