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Finding the Fourth Proportional to 76,386.42, 114,564.39 and 25,780.50

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Solution

The fourth proportional to 76,386.42, 114,564.39 and 25,780.50 is: 38,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.42 : 114,564.39 = 25,780.50 : x
  2. Step 2: Convert to fraction form
    76,386.42/114,564.39 = 25,780.50/x
  3. Step 3: Cross multiply
    76,386.42x = 114,564.39 × 25,780.50
  4. Step 4: Simplify right side
    76,386.42x = 2,953,527,256.40
  5. Step 5: Solve for x
    x = 2,953,527,256.40/76,386.42
  6. Step 6: Final answer
    x = 38,665.61

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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.