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Finding the Fourth Proportional to 98,970.54, 148,453.72 and 24,091.10

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Solution

The fourth proportional to 98,970.54, 148,453.72 and 24,091.10 is: 36,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970.54 : 148,453.72 = 24,091.10 : x
  2. Step 2: Convert to fraction form
    98,970.54/148,453.72 = 24,091.10/x
  3. Step 3: Cross multiply
    98,970.54x = 148,453.72 × 24,091.10
  4. Step 4: Simplify right side
    98,970.54x = 3,576,413,413.89
  5. Step 5: Solve for x
    x = 3,576,413,413.89/98,970.54
  6. Step 6: Final answer
    x = 36,136.14

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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.