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Finding the Fourth Proportional to 72,283.32, 99,748.84 and 40,019.38

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Solution

The fourth proportional to 72,283.32, 99,748.84 and 40,019.38 is: 55,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,283.32 : 99,748.84 = 40,019.38 : x
  2. Step 2: Convert to fraction form
    72,283.32/99,748.84 = 40,019.38/x
  3. Step 3: Cross multiply
    72,283.32x = 99,748.84 × 40,019.38
  4. Step 4: Simplify right side
    72,283.32x = 3,991,886,133.73
  5. Step 5: Solve for x
    x = 3,991,886,133.73/72,283.32
  6. Step 6: Final answer
    x = 55,225.55

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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.