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Finding the Fourth Proportional to 65,152.66, 97,728.94 and 23,009.84

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Solution

The fourth proportional to 65,152.66, 97,728.94 and 23,009.84 is: 34,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.66 : 97,728.94 = 23,009.84 : x
  2. Step 2: Convert to fraction form
    65,152.66/97,728.94 = 23,009.84/x
  3. Step 3: Cross multiply
    65,152.66x = 97,728.94 × 23,009.84
  4. Step 4: Simplify right side
    65,152.66x = 2,248,726,669.08
  5. Step 5: Solve for x
    x = 2,248,726,669.08/65,152.66
  6. Step 6: Final answer
    x = 34,514.73

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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.