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Finding the Fourth Proportional to 32,114.50, 44,303.04 and 20,787.64

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Solution

The fourth proportional to 32,114.50, 44,303.04 and 20,787.64 is: 28,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.50 : 44,303.04 = 20,787.64 : x
  2. Step 2: Convert to fraction form
    32,114.50/44,303.04 = 20,787.64/x
  3. Step 3: Cross multiply
    32,114.50x = 44,303.04 × 20,787.64
  4. Step 4: Simplify right side
    32,114.50x = 920,955,646.43
  5. Step 5: Solve for x
    x = 920,955,646.43/32,114.50
  6. Step 6: Final answer
    x = 28,677.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.