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Finding the Fourth Proportional to 65,724.95, 98,590.70 and 32,021.93

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Solution

The fourth proportional to 65,724.95, 98,590.70 and 32,021.93 is: 48,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.95 : 98,590.70 = 32,021.93 : x
  2. Step 2: Convert to fraction form
    65,724.95/98,590.70 = 32,021.93/x
  3. Step 3: Cross multiply
    65,724.95x = 98,590.70 × 32,021.93
  4. Step 4: Simplify right side
    65,724.95x = 3,157,064,820.58
  5. Step 5: Solve for x
    x = 3,157,064,820.58/65,724.95
  6. Step 6: Final answer
    x = 48,034.49

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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.