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Finding the Fourth Proportional to 46,598.66, 69,847.71 and 22,878.62

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Solution

The fourth proportional to 46,598.66, 69,847.71 and 22,878.62 is: 34,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,598.66 : 69,847.71 = 22,878.62 : x
  2. Step 2: Convert to fraction form
    46,598.66/69,847.71 = 22,878.62/x
  3. Step 3: Cross multiply
    46,598.66x = 69,847.71 × 22,878.62
  4. Step 4: Simplify right side
    46,598.66x = 1,598,018,954.55
  5. Step 5: Solve for x
    x = 1,598,018,954.55/46,598.66
  6. Step 6: Final answer
    x = 34,293.24

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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.