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Finding the Fourth Proportional to 32,779.90, 49,177.14 and 9,404.50

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Solution

The fourth proportional to 32,779.90, 49,177.14 and 9,404.50 is: 14,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.90 : 49,177.14 = 9,404.50 : x
  2. Step 2: Convert to fraction form
    32,779.90/49,177.14 = 9,404.50/x
  3. Step 3: Cross multiply
    32,779.90x = 49,177.14 × 9,404.50
  4. Step 4: Simplify right side
    32,779.90x = 462,486,413.13
  5. Step 5: Solve for x
    x = 462,486,413.13/32,779.90
  6. Step 6: Final answer
    x = 14,108.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.