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Finding the Fourth Proportional to 30,156.32, 45,238.58 and 10,429.58

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Solution

The fourth proportional to 30,156.32, 45,238.58 and 10,429.58 is: 15,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.32 : 45,238.58 = 10,429.58 : x
  2. Step 2: Convert to fraction form
    30,156.32/45,238.58 = 10,429.58/x
  3. Step 3: Cross multiply
    30,156.32x = 45,238.58 × 10,429.58
  4. Step 4: Simplify right side
    30,156.32x = 471,819,389.20
  5. Step 5: Solve for x
    x = 471,819,389.20/30,156.32
  6. Step 6: Final answer
    x = 15,645.79

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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.