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Finding the Fourth Proportional to 52,076.50, 78,128.07 and 15,140.50

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Solution

The fourth proportional to 52,076.50, 78,128.07 and 15,140.50 is: 22,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.50 : 78,128.07 = 15,140.50 : x
  2. Step 2: Convert to fraction form
    52,076.50/78,128.07 = 15,140.50/x
  3. Step 3: Cross multiply
    52,076.50x = 78,128.07 × 15,140.50
  4. Step 4: Simplify right side
    52,076.50x = 1,182,898,043.84
  5. Step 5: Solve for x
    x = 1,182,898,043.84/52,076.50
  6. Step 6: Final answer
    x = 22,714.62

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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.