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Finding the Fourth Proportional to 98,413.50, 135,810.64 and 53,701.50

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Solution

The fourth proportional to 98,413.50, 135,810.64 and 53,701.50 is: 74,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.50 : 135,810.64 = 53,701.50 : x
  2. Step 2: Convert to fraction form
    98,413.50/135,810.64 = 53,701.50/x
  3. Step 3: Cross multiply
    98,413.50x = 135,810.64 × 53,701.50
  4. Step 4: Simplify right side
    98,413.50x = 7,293,235,083.96
  5. Step 5: Solve for x
    x = 7,293,235,083.96/98,413.50
  6. Step 6: Final answer
    x = 74,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.