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Finding the Fourth Proportional to 52,538.60, 78,880.80 and 32,894.48

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Solution

The fourth proportional to 52,538.60, 78,880.80 and 32,894.48 is: 49,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.60 : 78,880.80 = 32,894.48 : x
  2. Step 2: Convert to fraction form
    52,538.60/78,880.80 = 32,894.48/x
  3. Step 3: Cross multiply
    52,538.60x = 78,880.80 × 32,894.48
  4. Step 4: Simplify right side
    52,538.60x = 2,594,742,897.98
  5. Step 5: Solve for x
    x = 2,594,742,897.98/52,538.60
  6. Step 6: Final answer
    x = 49,387.36

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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.