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Finding the Fourth Proportional to 24,699, 37,048.56 and 6,231

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Solution

The fourth proportional to 24,699, 37,048.56 and 6,231 is: 9,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699 : 37,048.56 = 6,231 : x
  2. Step 2: Convert to fraction form
    24,699/37,048.56 = 6,231/x
  3. Step 3: Cross multiply
    24,699x = 37,048.56 × 6,231
  4. Step 4: Simplify right side
    24,699x = 230,849,577.36
  5. Step 5: Solve for x
    x = 230,849,577.36/24,699
  6. Step 6: Final answer
    x = 9,346.52

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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.