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Finding the Fourth Proportional to 51,216, 70,678.08 and 27,664

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Solution

The fourth proportional to 51,216, 70,678.08 and 27,664 is: 38,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,216 : 70,678.08 = 27,664 : x
  2. Step 2: Convert to fraction form
    51,216/70,678.08 = 27,664/x
  3. Step 3: Cross multiply
    51,216x = 70,678.08 × 27,664
  4. Step 4: Simplify right side
    51,216x = 1,955,238,405.12
  5. Step 5: Solve for x
    x = 1,955,238,405.12/51,216
  6. Step 6: Final answer
    x = 38,176.32

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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.