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Finding the Fourth Proportional to 52,463.60, 78,695.40 and 21,321.20

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Solution

The fourth proportional to 52,463.60, 78,695.40 and 21,321.20 is: 31,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,463.60 : 78,695.40 = 21,321.20 : x
  2. Step 2: Convert to fraction form
    52,463.60/78,695.40 = 21,321.20/x
  3. Step 3: Cross multiply
    52,463.60x = 78,695.40 × 21,321.20
  4. Step 4: Simplify right side
    52,463.60x = 1,677,880,362.48
  5. Step 5: Solve for x
    x = 1,677,880,362.48/52,463.60
  6. Step 6: Final answer
    x = 31,981.80

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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.