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Finding the Fourth Proportional to 32,284.96, 48,428.40 and 13,804.96

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Solution

The fourth proportional to 32,284.96, 48,428.40 and 13,804.96 is: 20,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.96 : 48,428.40 = 13,804.96 : x
  2. Step 2: Convert to fraction form
    32,284.96/48,428.40 = 13,804.96/x
  3. Step 3: Cross multiply
    32,284.96x = 48,428.40 × 13,804.96
  4. Step 4: Simplify right side
    32,284.96x = 668,552,124.86
  5. Step 5: Solve for x
    x = 668,552,124.86/32,284.96
  6. Step 6: Final answer
    x = 20,707.85

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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.