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Finding the Fourth Proportional to 52,089.60, 78,098.83 and 25,057.68

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Solution

The fourth proportional to 52,089.60, 78,098.83 and 25,057.68 is: 37,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,089.60 : 78,098.83 = 25,057.68 : x
  2. Step 2: Convert to fraction form
    52,089.60/78,098.83 = 25,057.68/x
  3. Step 3: Cross multiply
    52,089.60x = 78,098.83 × 25,057.68
  4. Step 4: Simplify right side
    52,089.60x = 1,956,975,490.51
  5. Step 5: Solve for x
    x = 1,956,975,490.51/52,089.60
  6. Step 6: Final answer
    x = 37,569.41

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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.