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Finding the Fourth Proportional to 32,322.34, 48,483.51 and 10,137.51

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Solution

The fourth proportional to 32,322.34, 48,483.51 and 10,137.51 is: 15,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.34 : 48,483.51 = 10,137.51 : x
  2. Step 2: Convert to fraction form
    32,322.34/48,483.51 = 10,137.51/x
  3. Step 3: Cross multiply
    32,322.34x = 48,483.51 × 10,137.51
  4. Step 4: Simplify right side
    32,322.34x = 491,502,067.46
  5. Step 5: Solve for x
    x = 491,502,067.46/32,322.34
  6. Step 6: Final answer
    x = 15,206.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.