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Finding the Fourth Proportional to 65,927.70, 90,980.51 and 35,712.95

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Solution

The fourth proportional to 65,927.70, 90,980.51 and 35,712.95 is: 49,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,927.70 : 90,980.51 = 35,712.95 : x
  2. Step 2: Convert to fraction form
    65,927.70/90,980.51 = 35,712.95/x
  3. Step 3: Cross multiply
    65,927.70x = 90,980.51 × 35,712.95
  4. Step 4: Simplify right side
    65,927.70x = 3,249,181,771.14
  5. Step 5: Solve for x
    x = 3,249,181,771.14/65,927.70
  6. Step 6: Final answer
    x = 49,284.02

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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.