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Finding the Fourth Proportional to 24,700, 37,050.06 and 6,232

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Solution

The fourth proportional to 24,700, 37,050.06 and 6,232 is: 9,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 37,050.06 = 6,232 : x
  2. Step 2: Convert to fraction form
    24,700/37,050.06 = 6,232/x
  3. Step 3: Cross multiply
    24,700x = 37,050.06 × 6,232
  4. Step 4: Simplify right side
    24,700x = 230,895,973.92
  5. Step 5: Solve for x
    x = 230,895,973.92/24,700
  6. Step 6: Final answer
    x = 9,348.02

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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.