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Finding the Fourth Proportional to 30,459.30, 45,683.36 and 13,815.32

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Solution

The fourth proportional to 30,459.30, 45,683.36 and 13,815.32 is: 20,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.30 : 45,683.36 = 13,815.32 : x
  2. Step 2: Convert to fraction form
    30,459.30/45,683.36 = 13,815.32/x
  3. Step 3: Cross multiply
    30,459.30x = 45,683.36 × 13,815.32
  4. Step 4: Simplify right side
    30,459.30x = 631,130,237.08
  5. Step 5: Solve for x
    x = 631,130,237.08/30,459.30
  6. Step 6: Final answer
    x = 20,720.44

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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.