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Finding the Fourth Proportional to 84,034.55, 115,972 and 46,308.80

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Solution

The fourth proportional to 84,034.55, 115,972 and 46,308.80 is: 63,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.55 : 115,972 = 46,308.80 : x
  2. Step 2: Convert to fraction form
    84,034.55/115,972 = 46,308.80/x
  3. Step 3: Cross multiply
    84,034.55x = 115,972 × 46,308.80
  4. Step 4: Simplify right side
    84,034.55x = 5,370,523,573.74
  5. Step 5: Solve for x
    x = 5,370,523,573.74/84,034.55
  6. Step 6: Final answer
    x = 63,908.52

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1.5x scale

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.