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Finding the Fourth Proportional to 65,102.37, 97,653.27 and 27,656.70

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Solution

The fourth proportional to 65,102.37, 97,653.27 and 27,656.70 is: 41,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.37 : 97,653.27 = 27,656.70 : x
  2. Step 2: Convert to fraction form
    65,102.37/97,653.27 = 27,656.70/x
  3. Step 3: Cross multiply
    65,102.37x = 97,653.27 × 27,656.70
  4. Step 4: Simplify right side
    65,102.37x = 2,700,767,192.41
  5. Step 5: Solve for x
    x = 2,700,767,192.41/65,102.37
  6. Step 6: Final answer
    x = 41,484.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.