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Finding the Fourth Proportional to 97,779.30, 146,847.15 and 58,413.30

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Solution

The fourth proportional to 97,779.30, 146,847.15 and 58,413.30 is: 87,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,779.30 : 146,847.15 = 58,413.30 : x
  2. Step 2: Convert to fraction form
    97,779.30/146,847.15 = 58,413.30/x
  3. Step 3: Cross multiply
    97,779.30x = 146,847.15 × 58,413.30
  4. Step 4: Simplify right side
    97,779.30x = 8,577,826,627.10
  5. Step 5: Solve for x
    x = 8,577,826,627.10/97,779.30
  6. Step 6: Final answer
    x = 87,726.41

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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.