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Finding the Fourth Proportional to 32,968.80, 49,442.40 and 9,596.16

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Solution

The fourth proportional to 32,968.80, 49,442.40 and 9,596.16 is: 14,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968.80 : 49,442.40 = 9,596.16 : x
  2. Step 2: Convert to fraction form
    32,968.80/49,442.40 = 9,596.16/x
  3. Step 3: Cross multiply
    32,968.80x = 49,442.40 × 9,596.16
  4. Step 4: Simplify right side
    32,968.80x = 474,457,181.18
  5. Step 5: Solve for x
    x = 474,457,181.18/32,968.80
  6. Step 6: Final answer
    x = 14,391.10

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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.