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Finding the Fourth Proportional to 65,537, 98,280.50 and 23,409.24

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Solution

The fourth proportional to 65,537, 98,280.50 and 23,409.24 is: 35,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,537 : 98,280.50 = 23,409.24 : x
  2. Step 2: Convert to fraction form
    65,537/98,280.50 = 23,409.24/x
  3. Step 3: Cross multiply
    65,537x = 98,280.50 × 23,409.24
  4. Step 4: Simplify right side
    65,537x = 2,300,671,811.82
  5. Step 5: Solve for x
    x = 2,300,671,811.82/65,537
  6. Step 6: Final answer
    x = 35,104.93

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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.