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Finding the Fourth Proportional to 84,034, 115,968.14 and 46,308.25

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Solution

The fourth proportional to 84,034, 115,968.14 and 46,308.25 is: 63,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034 : 115,968.14 = 46,308.25 : x
  2. Step 2: Convert to fraction form
    84,034/115,968.14 = 46,308.25/x
  3. Step 3: Cross multiply
    84,034x = 115,968.14 × 46,308.25
  4. Step 4: Simplify right side
    84,034x = 5,370,281,619.16
  5. Step 5: Solve for x
    x = 5,370,281,619.16/84,034
  6. Step 6: Final answer
    x = 63,906.06

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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.