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Finding the Fourth Proportional to 30,116.72, 45,140.52 and 11,638.64

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Solution

The fourth proportional to 30,116.72, 45,140.52 and 11,638.64 is: 17,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116.72 : 45,140.52 = 11,638.64 : x
  2. Step 2: Convert to fraction form
    30,116.72/45,140.52 = 11,638.64/x
  3. Step 3: Cross multiply
    30,116.72x = 45,140.52 × 11,638.64
  4. Step 4: Simplify right side
    30,116.72x = 525,374,261.69
  5. Step 5: Solve for x
    x = 525,374,261.69/30,116.72
  6. Step 6: Final answer
    x = 17,444.60

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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.