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Finding the Fourth Proportional to 55,437.16, 83,083.74 and 42,241

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Solution

The fourth proportional to 55,437.16, 83,083.74 and 42,241 is: 63,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,437.16 : 83,083.74 = 42,241 : x
  2. Step 2: Convert to fraction form
    55,437.16/83,083.74 = 42,241/x
  3. Step 3: Cross multiply
    55,437.16x = 83,083.74 × 42,241
  4. Step 4: Simplify right side
    55,437.16x = 3,509,540,261.34
  5. Step 5: Solve for x
    x = 3,509,540,261.34/55,437.16
  6. Step 6: Final answer
    x = 63,306.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.