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Finding the Fourth Proportional to 84,506.61, 116,619.15 and 46,780.86

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Solution

The fourth proportional to 84,506.61, 116,619.15 and 46,780.86 is: 64,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506.61 : 116,619.15 = 46,780.86 : x
  2. Step 2: Convert to fraction form
    84,506.61/116,619.15 = 46,780.86/x
  3. Step 3: Cross multiply
    84,506.61x = 116,619.15 × 46,780.86
  4. Step 4: Simplify right side
    84,506.61x = 5,455,544,129.47
  5. Step 5: Solve for x
    x = 5,455,544,129.47/84,506.61
  6. Step 6: Final answer
    x = 64,557.60

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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.