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Finding the Fourth Proportional to 76,133.42, 114,211.07 and 23,547

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Solution

The fourth proportional to 76,133.42, 114,211.07 and 23,547 is: 35,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133.42 : 114,211.07 = 23,547 : x
  2. Step 2: Convert to fraction form
    76,133.42/114,211.07 = 23,547/x
  3. Step 3: Cross multiply
    76,133.42x = 114,211.07 × 23,547
  4. Step 4: Simplify right side
    76,133.42x = 2,689,327,947.56
  5. Step 5: Solve for x
    x = 2,689,327,947.56/76,133.42
  6. Step 6: Final answer
    x = 35,323.88

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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.