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Finding the Fourth Proportional to 114,648.84, 172,005.12 and 48,073.32

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Solution

The fourth proportional to 114,648.84, 172,005.12 and 48,073.32 is: 72,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,648.84 : 172,005.12 = 48,073.32 : x
  2. Step 2: Convert to fraction form
    114,648.84/172,005.12 = 48,073.32/x
  3. Step 3: Cross multiply
    114,648.84x = 172,005.12 × 48,073.32
  4. Step 4: Simplify right side
    114,648.84x = 8,268,857,175.40
  5. Step 5: Solve for x
    x = 8,268,857,175.40/114,648.84
  6. Step 6: Final answer
    x = 72,123.34

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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.