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Finding the Fourth Proportional to 76,038.35, 114,059.07 and 23,447.88

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Solution

The fourth proportional to 76,038.35, 114,059.07 and 23,447.88 is: 35,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.35 : 114,059.07 = 23,447.88 : x
  2. Step 2: Convert to fraction form
    76,038.35/114,059.07 = 23,447.88/x
  3. Step 3: Cross multiply
    76,038.35x = 114,059.07 × 23,447.88
  4. Step 4: Simplify right side
    76,038.35x = 2,674,443,386.27
  5. Step 5: Solve for x
    x = 2,674,443,386.27/76,038.35
  6. Step 6: Final answer
    x = 35,172.30

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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.