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Finding the Fourth Proportional to 65,886.51, 90,922.28 and 35,671.59

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Solution

The fourth proportional to 65,886.51, 90,922.28 and 35,671.59 is: 49,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886.51 : 90,922.28 = 35,671.59 : x
  2. Step 2: Convert to fraction form
    65,886.51/90,922.28 = 35,671.59/x
  3. Step 3: Cross multiply
    65,886.51x = 90,922.28 × 35,671.59
  4. Step 4: Simplify right side
    65,886.51x = 3,243,341,997.66
  5. Step 5: Solve for x
    x = 3,243,341,997.66/65,886.51
  6. Step 6: Final answer
    x = 49,226.19

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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.