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Finding the Fourth Proportional to 76,064, 114,111.20 and 23,471.50

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Solution

The fourth proportional to 76,064, 114,111.20 and 23,471.50 is: 35,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064 : 114,111.20 = 23,471.50 : x
  2. Step 2: Convert to fraction form
    76,064/114,111.20 = 23,471.50/x
  3. Step 3: Cross multiply
    76,064x = 114,111.20 × 23,471.50
  4. Step 4: Simplify right side
    76,064x = 2,678,361,030.80
  5. Step 5: Solve for x
    x = 2,678,361,030.80/76,064
  6. Step 6: Final answer
    x = 35,211.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.