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Finding the Fourth Proportional to 84,735, 116,934.30 and 47,009.52

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Solution

The fourth proportional to 84,735, 116,934.30 and 47,009.52 is: 64,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,735 : 116,934.30 = 47,009.52 : x
  2. Step 2: Convert to fraction form
    84,735/116,934.30 = 47,009.52/x
  3. Step 3: Cross multiply
    84,735x = 116,934.30 × 47,009.52
  4. Step 4: Simplify right side
    84,735x = 5,497,025,314.54
  5. Step 5: Solve for x
    x = 5,497,025,314.54/84,735
  6. Step 6: Final answer
    x = 64,873.14

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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.