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Finding the Fourth Proportional to 32,465.75, 48,700.01 and 12,748.58

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Solution

The fourth proportional to 32,465.75, 48,700.01 and 12,748.58 is: 19,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.75 : 48,700.01 = 12,748.58 : x
  2. Step 2: Convert to fraction form
    32,465.75/48,700.01 = 12,748.58/x
  3. Step 3: Cross multiply
    32,465.75x = 48,700.01 × 12,748.58
  4. Step 4: Simplify right side
    32,465.75x = 620,855,666.24
  5. Step 5: Solve for x
    x = 620,855,666.24/32,465.75
  6. Step 6: Final answer
    x = 19,123.41

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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.