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Finding the Fourth Proportional to 86,775.52, 130,116.49 and 46,815.92

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Solution

The fourth proportional to 86,775.52, 130,116.49 and 46,815.92 is: 70,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,775.52 : 130,116.49 = 46,815.92 : x
  2. Step 2: Convert to fraction form
    86,775.52/130,116.49 = 46,815.92/x
  3. Step 3: Cross multiply
    86,775.52x = 130,116.49 × 46,815.92
  4. Step 4: Simplify right side
    86,775.52x = 6,091,523,186.52
  5. Step 5: Solve for x
    x = 6,091,523,186.52/86,775.52
  6. Step 6: Final answer
    x = 70,198.64

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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.