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Finding the Fourth Proportional to 59,654.66, 89,477.33 and 34,678.78

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Solution

The fourth proportional to 59,654.66, 89,477.33 and 34,678.78 is: 52,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,654.66 : 89,477.33 = 34,678.78 : x
  2. Step 2: Convert to fraction form
    59,654.66/89,477.33 = 34,678.78/x
  3. Step 3: Cross multiply
    59,654.66x = 89,477.33 × 34,678.78
  4. Step 4: Simplify right side
    59,654.66x = 3,102,964,642.06
  5. Step 5: Solve for x
    x = 3,102,964,642.06/59,654.66
  6. Step 6: Final answer
    x = 52,015.46

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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.