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Finding the Fourth Proportional to 32,017.76, 48,019.76 and 9,523.02

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Solution

The fourth proportional to 32,017.76, 48,019.76 and 9,523.02 is: 14,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.76 : 48,019.76 = 9,523.02 : x
  2. Step 2: Convert to fraction form
    32,017.76/48,019.76 = 9,523.02/x
  3. Step 3: Cross multiply
    32,017.76x = 48,019.76 × 9,523.02
  4. Step 4: Simplify right side
    32,017.76x = 457,293,303.05
  5. Step 5: Solve for x
    x = 457,293,303.05/32,017.76
  6. Step 6: Final answer
    x = 14,282.49

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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.