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Finding the Fourth Proportional to 30,812.32, 46,218.58 and 7,438.76

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Solution

The fourth proportional to 30,812.32, 46,218.58 and 7,438.76 is: 11,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.32 : 46,218.58 = 7,438.76 : x
  2. Step 2: Convert to fraction form
    30,812.32/46,218.58 = 7,438.76/x
  3. Step 3: Cross multiply
    30,812.32x = 46,218.58 × 7,438.76
  4. Step 4: Simplify right side
    30,812.32x = 343,808,924.16
  5. Step 5: Solve for x
    x = 343,808,924.16/30,812.32
  6. Step 6: Final answer
    x = 11,158.16

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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.