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Finding the Fourth Proportional to 65,852.63, 90,876.84 and 35,637.93

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Solution

The fourth proportional to 65,852.63, 90,876.84 and 35,637.93 is: 49,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.63 : 90,876.84 = 35,637.93 : x
  2. Step 2: Convert to fraction form
    65,852.63/90,876.84 = 35,637.93/x
  3. Step 3: Cross multiply
    65,852.63x = 90,876.84 × 35,637.93
  4. Step 4: Simplify right side
    65,852.63x = 3,238,662,462.54
  5. Step 5: Solve for x
    x = 3,238,662,462.54/65,852.63
  6. Step 6: Final answer
    x = 49,180.46

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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.