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Finding the Fourth Proportional to 65,054.76, 97,502.22 and 36,998.25

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Solution

The fourth proportional to 65,054.76, 97,502.22 and 36,998.25 is: 55,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,054.76 : 97,502.22 = 36,998.25 : x
  2. Step 2: Convert to fraction form
    65,054.76/97,502.22 = 36,998.25/x
  3. Step 3: Cross multiply
    65,054.76x = 97,502.22 × 36,998.25
  4. Step 4: Simplify right side
    65,054.76x = 3,607,411,511.12
  5. Step 5: Solve for x
    x = 3,607,411,511.12/65,054.76
  6. Step 6: Final answer
    x = 55,451.92

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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.