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Finding the Fourth Proportional to 34,796, 48,017.80 and 19,688.08

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Solution

The fourth proportional to 34,796, 48,017.80 and 19,688.08 is: 27,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796 : 48,017.80 = 19,688.08 : x
  2. Step 2: Convert to fraction form
    34,796/48,017.80 = 19,688.08/x
  3. Step 3: Cross multiply
    34,796x = 48,017.80 × 19,688.08
  4. Step 4: Simplify right side
    34,796x = 945,378,287.82
  5. Step 5: Solve for x
    x = 945,378,287.82/34,796
  6. Step 6: Final answer
    x = 27,169.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.