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Finding the Fourth Proportional to 32,015.40, 48,025.66 and 8,641.50

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Solution

The fourth proportional to 32,015.40, 48,025.66 and 8,641.50 is: 12,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.40 : 48,025.66 = 8,641.50 : x
  2. Step 2: Convert to fraction form
    32,015.40/48,025.66 = 8,641.50/x
  3. Step 3: Cross multiply
    32,015.40x = 48,025.66 × 8,641.50
  4. Step 4: Simplify right side
    32,015.40x = 415,013,740.89
  5. Step 5: Solve for x
    x = 415,013,740.89/32,015.40
  6. Step 6: Final answer
    x = 12,962.94

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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.