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Finding the Fourth Proportional to 76,433.40, 114,656.24 and 29,071.16

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Solution

The fourth proportional to 76,433.40, 114,656.24 and 29,071.16 is: 43,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,433.40 : 114,656.24 = 29,071.16 : x
  2. Step 2: Convert to fraction form
    76,433.40/114,656.24 = 29,071.16/x
  3. Step 3: Cross multiply
    76,433.40x = 114,656.24 × 29,071.16
  4. Step 4: Simplify right side
    76,433.40x = 3,333,189,898.04
  5. Step 5: Solve for x
    x = 3,333,189,898.04/76,433.40
  6. Step 6: Final answer
    x = 43,609.08

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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.