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Finding the Fourth Proportional to 65,235.16, 97,840.38 and 27,788.20

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Solution

The fourth proportional to 65,235.16, 97,840.38 and 27,788.20 is: 41,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.16 : 97,840.38 = 27,788.20 : x
  2. Step 2: Convert to fraction form
    65,235.16/97,840.38 = 27,788.20/x
  3. Step 3: Cross multiply
    65,235.16x = 97,840.38 × 27,788.20
  4. Step 4: Simplify right side
    65,235.16x = 2,718,808,047.52
  5. Step 5: Solve for x
    x = 2,718,808,047.52/65,235.16
  6. Step 6: Final answer
    x = 41,677.04

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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.