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Finding the Fourth Proportional to 65,421.60, 90,290.88 and 38,571.72

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Solution

The fourth proportional to 65,421.60, 90,290.88 and 38,571.72 is: 53,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421.60 : 90,290.88 = 38,571.72 : x
  2. Step 2: Convert to fraction form
    65,421.60/90,290.88 = 38,571.72/x
  3. Step 3: Cross multiply
    65,421.60x = 90,290.88 × 38,571.72
  4. Step 4: Simplify right side
    65,421.60x = 3,482,674,541.91
  5. Step 5: Solve for x
    x = 3,482,674,541.91/65,421.60
  6. Step 6: Final answer
    x = 53,234.32

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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.