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Finding the Fourth Proportional to 52,560.94, 78,798.84 and 35,878.96

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Solution

The fourth proportional to 52,560.94, 78,798.84 and 35,878.96 is: 53,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,560.94 : 78,798.84 = 35,878.96 : x
  2. Step 2: Convert to fraction form
    52,560.94/78,798.84 = 35,878.96/x
  3. Step 3: Cross multiply
    52,560.94x = 78,798.84 × 35,878.96
  4. Step 4: Simplify right side
    52,560.94x = 2,827,220,428.41
  5. Step 5: Solve for x
    x = 2,827,220,428.41/52,560.94
  6. Step 6: Final answer
    x = 53,789.38

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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.