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Finding the Fourth Proportional to 38,923.87, 53,705.05 and 23,811.01

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Solution

The fourth proportional to 38,923.87, 53,705.05 and 23,811.01 is: 32,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923.87 : 53,705.05 = 23,811.01 : x
  2. Step 2: Convert to fraction form
    38,923.87/53,705.05 = 23,811.01/x
  3. Step 3: Cross multiply
    38,923.87x = 53,705.05 × 23,811.01
  4. Step 4: Simplify right side
    38,923.87x = 1,278,771,482.60
  5. Step 5: Solve for x
    x = 1,278,771,482.60/38,923.87
  6. Step 6: Final answer
    x = 32,853.14

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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.