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Finding the Fourth Proportional to 32,378.32, 48,565.85 and 9,004.96

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Solution

The fourth proportional to 32,378.32, 48,565.85 and 9,004.96 is: 13,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.32 : 48,565.85 = 9,004.96 : x
  2. Step 2: Convert to fraction form
    32,378.32/48,565.85 = 9,004.96/x
  3. Step 3: Cross multiply
    32,378.32x = 48,565.85 × 9,004.96
  4. Step 4: Simplify right side
    32,378.32x = 437,333,437.71
  5. Step 5: Solve for x
    x = 437,333,437.71/32,378.32
  6. Step 6: Final answer
    x = 13,506.98

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