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Finding the Fourth Proportional to 30,111.68, 45,176.16 and 11,656.64

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Solution

The fourth proportional to 30,111.68, 45,176.16 and 11,656.64 is: 17,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.68 : 45,176.16 = 11,656.64 : x
  2. Step 2: Convert to fraction form
    30,111.68/45,176.16 = 11,656.64/x
  3. Step 3: Cross multiply
    30,111.68x = 45,176.16 × 11,656.64
  4. Step 4: Simplify right side
    30,111.68x = 526,602,233.70
  5. Step 5: Solve for x
    x = 526,602,233.70/30,111.68
  6. Step 6: Final answer
    x = 17,488.30

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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.