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Finding the Fourth Proportional to 38,784.40, 58,219.80 and 21,288.40

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Solution

The fourth proportional to 38,784.40, 58,219.80 and 21,288.40 is: 31,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784.40 : 58,219.80 = 21,288.40 : x
  2. Step 2: Convert to fraction form
    38,784.40/58,219.80 = 21,288.40/x
  3. Step 3: Cross multiply
    38,784.40x = 58,219.80 × 21,288.40
  4. Step 4: Simplify right side
    38,784.40x = 1,239,406,390.32
  5. Step 5: Solve for x
    x = 1,239,406,390.32/38,784.40
  6. Step 6: Final answer
    x = 31,956.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.