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Finding the Fourth Proportional to 83,746.45, 115,568.76 and 46,019.89

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Solution

The fourth proportional to 83,746.45, 115,568.76 and 46,019.89 is: 63,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,746.45 : 115,568.76 = 46,019.89 : x
  2. Step 2: Convert to fraction form
    83,746.45/115,568.76 = 46,019.89/x
  3. Step 3: Cross multiply
    83,746.45x = 115,568.76 × 46,019.89
  4. Step 4: Simplify right side
    83,746.45x = 5,318,461,622.64
  5. Step 5: Solve for x
    x = 5,318,461,622.64/83,746.45
  6. Step 6: Final answer
    x = 63,506.71

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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.