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Finding the Fourth Proportional to 30,464.16, 45,679.72 and 13,815.10

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Solution

The fourth proportional to 30,464.16, 45,679.72 and 13,815.10 is: 20,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.16 : 45,679.72 = 13,815.10 : x
  2. Step 2: Convert to fraction form
    30,464.16/45,679.72 = 13,815.10/x
  3. Step 3: Cross multiply
    30,464.16x = 45,679.72 × 13,815.10
  4. Step 4: Simplify right side
    30,464.16x = 631,069,899.77
  5. Step 5: Solve for x
    x = 631,069,899.77/30,464.16
  6. Step 6: Final answer
    x = 20,715.16

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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.