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Finding the Fourth Proportional to 77,036.97, 106,301.25 and 45,194.25

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Solution

The fourth proportional to 77,036.97, 106,301.25 and 45,194.25 is: 62,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,036.97 : 106,301.25 = 45,194.25 : x
  2. Step 2: Convert to fraction form
    77,036.97/106,301.25 = 45,194.25/x
  3. Step 3: Cross multiply
    77,036.97x = 106,301.25 × 45,194.25
  4. Step 4: Simplify right side
    77,036.97x = 4,804,205,267.81
  5. Step 5: Solve for x
    x = 4,804,205,267.81/77,036.97
  6. Step 6: Final answer
    x = 62,362.33

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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.