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Finding the Fourth Proportional to 32,420.34, 48,631.41 and 9,046.76

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Solution

The fourth proportional to 32,420.34, 48,631.41 and 9,046.76 is: 13,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.34 : 48,631.41 = 9,046.76 : x
  2. Step 2: Convert to fraction form
    32,420.34/48,631.41 = 9,046.76/x
  3. Step 3: Cross multiply
    32,420.34x = 48,631.41 × 9,046.76
  4. Step 4: Simplify right side
    32,420.34x = 439,956,451.57
  5. Step 5: Solve for x
    x = 439,956,451.57/32,420.34
  6. Step 6: Final answer
    x = 13,570.38

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1.5x scale

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.