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Finding the Fourth Proportional to 59,784, 82,504.11 and 37,135.50

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Solution

The fourth proportional to 59,784, 82,504.11 and 37,135.50 is: 51,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784 : 82,504.11 = 37,135.50 : x
  2. Step 2: Convert to fraction form
    59,784/82,504.11 = 37,135.50/x
  3. Step 3: Cross multiply
    59,784x = 82,504.11 × 37,135.50
  4. Step 4: Simplify right side
    59,784x = 3,063,831,376.91
  5. Step 5: Solve for x
    x = 3,063,831,376.91/59,784
  6. Step 6: Final answer
    x = 51,248.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.