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Finding the Fourth Proportional to 38,346.40, 52,907.70 and 22,434.76

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Solution

The fourth proportional to 38,346.40, 52,907.70 and 22,434.76 is: 30,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.40 : 52,907.70 = 22,434.76 : x
  2. Step 2: Convert to fraction form
    38,346.40/52,907.70 = 22,434.76/x
  3. Step 3: Cross multiply
    38,346.40x = 52,907.70 × 22,434.76
  4. Step 4: Simplify right side
    38,346.40x = 1,186,971,551.65
  5. Step 5: Solve for x
    x = 1,186,971,551.65/38,346.40
  6. Step 6: Final answer
    x = 30,953.92

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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.