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Finding the Fourth Proportional to 143,030.12, 214,496.58 and 49,514

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Solution

The fourth proportional to 143,030.12, 214,496.58 and 49,514 is: 74,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,030.12 : 214,496.58 = 49,514 : x
  2. Step 2: Convert to fraction form
    143,030.12/214,496.58 = 49,514/x
  3. Step 3: Cross multiply
    143,030.12x = 214,496.58 × 49,514
  4. Step 4: Simplify right side
    143,030.12x = 10,620,583,662.12
  5. Step 5: Solve for x
    x = 10,620,583,662.12/143,030.12
  6. Step 6: Final answer
    x = 74,254.18

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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.