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Finding the Fourth Proportional to 65,409.50, 98,114.26 and 21,035.28

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Solution

The fourth proportional to 65,409.50, 98,114.26 and 21,035.28 is: 31,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.50 : 98,114.26 = 21,035.28 : x
  2. Step 2: Convert to fraction form
    65,409.50/98,114.26 = 21,035.28/x
  3. Step 3: Cross multiply
    65,409.50x = 98,114.26 × 21,035.28
  4. Step 4: Simplify right side
    65,409.50x = 2,063,860,931.09
  5. Step 5: Solve for x
    x = 2,063,860,931.09/65,409.50
  6. Step 6: Final answer
    x = 31,552.92

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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.