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Finding the Fourth Proportional to 32,491.40, 48,621.90 and 22,123.40

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Solution

The fourth proportional to 32,491.40, 48,621.90 and 22,123.40 is: 33,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.40 : 48,621.90 = 22,123.40 : x
  2. Step 2: Convert to fraction form
    32,491.40/48,621.90 = 22,123.40/x
  3. Step 3: Cross multiply
    32,491.40x = 48,621.90 × 22,123.40
  4. Step 4: Simplify right side
    32,491.40x = 1,075,681,742.46
  5. Step 5: Solve for x
    x = 1,075,681,742.46/32,491.40
  6. Step 6: Final answer
    x = 33,106.66

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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.