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Finding the Fourth Proportional to 32,768.40, 49,152.60 and 24,020.40

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Solution

The fourth proportional to 32,768.40, 49,152.60 and 24,020.40 is: 36,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.40 : 49,152.60 = 24,020.40 : x
  2. Step 2: Convert to fraction form
    32,768.40/49,152.60 = 24,020.40/x
  3. Step 3: Cross multiply
    32,768.40x = 49,152.60 × 24,020.40
  4. Step 4: Simplify right side
    32,768.40x = 1,180,665,113.04
  5. Step 5: Solve for x
    x = 1,180,665,113.04/32,768.40
  6. Step 6: Final answer
    x = 36,030.60

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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.