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Finding the Fourth Proportional to 106,036.30, 159,046.17 and 46,873.90

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Solution

The fourth proportional to 106,036.30, 159,046.17 and 46,873.90 is: 70,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036.30 : 159,046.17 = 46,873.90 : x
  2. Step 2: Convert to fraction form
    106,036.30/159,046.17 = 46,873.90/x
  3. Step 3: Cross multiply
    106,036.30x = 159,046.17 × 46,873.90
  4. Step 4: Simplify right side
    106,036.30x = 7,455,114,267.96
  5. Step 5: Solve for x
    x = 7,455,114,267.96/106,036.30
  6. Step 6: Final answer
    x = 70,307.19

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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.