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Finding the Fourth Proportional to 97,262.50, 145,893.75 and 23,390.50

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Solution

The fourth proportional to 97,262.50, 145,893.75 and 23,390.50 is: 35,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,262.50 : 145,893.75 = 23,390.50 : x
  2. Step 2: Convert to fraction form
    97,262.50/145,893.75 = 23,390.50/x
  3. Step 3: Cross multiply
    97,262.50x = 145,893.75 × 23,390.50
  4. Step 4: Simplify right side
    97,262.50x = 3,412,527,759.38
  5. Step 5: Solve for x
    x = 3,412,527,759.38/97,262.50
  6. Step 6: Final answer
    x = 35,085.75

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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.