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Finding the Fourth Proportional to 83,052.67, 114,608.64 and 46,751.98

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Solution

The fourth proportional to 83,052.67, 114,608.64 and 46,751.98 is: 64,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052.67 : 114,608.64 = 46,751.98 : x
  2. Step 2: Convert to fraction form
    83,052.67/114,608.64 = 46,751.98/x
  3. Step 3: Cross multiply
    83,052.67x = 114,608.64 × 46,751.98
  4. Step 4: Simplify right side
    83,052.67x = 5,358,180,845.11
  5. Step 5: Solve for x
    x = 5,358,180,845.11/83,052.67
  6. Step 6: Final answer
    x = 64,515.46

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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.