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Finding the Fourth Proportional to 65,952.16, 91,018.44 and 37,261.86

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Solution

The fourth proportional to 65,952.16, 91,018.44 and 37,261.86 is: 51,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.16 : 91,018.44 = 37,261.86 : x
  2. Step 2: Convert to fraction form
    65,952.16/91,018.44 = 37,261.86/x
  3. Step 3: Cross multiply
    65,952.16x = 91,018.44 × 37,261.86
  4. Step 4: Simplify right side
    65,952.16x = 3,391,516,368.70
  5. Step 5: Solve for x
    x = 3,391,516,368.70/65,952.16
  6. Step 6: Final answer
    x = 51,423.89

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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.