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Finding the Fourth Proportional to 59,477.84, 89,122.08 and 31,396.88

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Solution

The fourth proportional to 59,477.84, 89,122.08 and 31,396.88 is: 47,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,477.84 : 89,122.08 = 31,396.88 : x
  2. Step 2: Convert to fraction form
    59,477.84/89,122.08 = 31,396.88/x
  3. Step 3: Cross multiply
    59,477.84x = 89,122.08 × 31,396.88
  4. Step 4: Simplify right side
    59,477.84x = 2,798,155,251.11
  5. Step 5: Solve for x
    x = 2,798,155,251.11/59,477.84
  6. Step 6: Final answer
    x = 47,045.34

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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.