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Finding the Fourth Proportional to 32,697.50, 45,136.10 and 22,101.48

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Solution

The fourth proportional to 32,697.50, 45,136.10 and 22,101.48 is: 30,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.50 : 45,136.10 = 22,101.48 : x
  2. Step 2: Convert to fraction form
    32,697.50/45,136.10 = 22,101.48/x
  3. Step 3: Cross multiply
    32,697.50x = 45,136.10 × 22,101.48
  4. Step 4: Simplify right side
    32,697.50x = 997,574,666.68
  5. Step 5: Solve for x
    x = 997,574,666.68/32,697.50
  6. Step 6: Final answer
    x = 30,509.21

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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.