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Finding the Fourth Proportional to 38,952.24, 53,751.06 and 23,838.63

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Solution

The fourth proportional to 38,952.24, 53,751.06 and 23,838.63 is: 32,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952.24 : 53,751.06 = 23,838.63 : x
  2. Step 2: Convert to fraction form
    38,952.24/53,751.06 = 23,838.63/x
  3. Step 3: Cross multiply
    38,952.24x = 53,751.06 × 23,838.63
  4. Step 4: Simplify right side
    38,952.24x = 1,281,351,631.45
  5. Step 5: Solve for x
    x = 1,281,351,631.45/38,952.24
  6. Step 6: Final answer
    x = 32,895.45

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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.