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Finding the Fourth Proportional to 59,796, 82,518.48 and 34,660.08

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Solution

The fourth proportional to 59,796, 82,518.48 and 34,660.08 is: 47,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,796 : 82,518.48 = 34,660.08 : x
  2. Step 2: Convert to fraction form
    59,796/82,518.48 = 34,660.08/x
  3. Step 3: Cross multiply
    59,796x = 82,518.48 × 34,660.08
  4. Step 4: Simplify right side
    59,796x = 2,860,097,118.28
  5. Step 5: Solve for x
    x = 2,860,097,118.28/59,796
  6. Step 6: Final answer
    x = 47,830.91

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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.