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Finding the Fourth Proportional to 65,431.78, 90,296.66 and 38,572.67

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Solution

The fourth proportional to 65,431.78, 90,296.66 and 38,572.67 is: 53,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,431.78 : 90,296.66 = 38,572.67 : x
  2. Step 2: Convert to fraction form
    65,431.78/90,296.66 = 38,572.67/x
  3. Step 3: Cross multiply
    65,431.78x = 90,296.66 × 38,572.67
  4. Step 4: Simplify right side
    65,431.78x = 3,482,983,590.46
  5. Step 5: Solve for x
    x = 3,482,983,590.46/65,431.78
  6. Step 6: Final answer
    x = 53,230.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.