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Finding the Fourth Proportional to 37,010, 55,510.92 and 9,308

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Solution

The fourth proportional to 37,010, 55,510.92 and 9,308 is: 13,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,010 : 55,510.92 = 9,308 : x
  2. Step 2: Convert to fraction form
    37,010/55,510.92 = 9,308/x
  3. Step 3: Cross multiply
    37,010x = 55,510.92 × 9,308
  4. Step 4: Simplify right side
    37,010x = 516,695,643.36
  5. Step 5: Solve for x
    x = 516,695,643.36/37,010
  6. Step 6: Final answer
    x = 13,960.97

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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.