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Finding the Fourth Proportional to 32,073.84, 48,114.72 and 11,018.16

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Solution

The fourth proportional to 32,073.84, 48,114.72 and 11,018.16 is: 16,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.84 : 48,114.72 = 11,018.16 : x
  2. Step 2: Convert to fraction form
    32,073.84/48,114.72 = 11,018.16/x
  3. Step 3: Cross multiply
    32,073.84x = 48,114.72 × 11,018.16
  4. Step 4: Simplify right side
    32,073.84x = 530,135,683.32
  5. Step 5: Solve for x
    x = 530,135,683.32/32,073.84
  6. Step 6: Final answer
    x = 16,528.60

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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.