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Finding the Fourth Proportional to 32,413.22, 44,742.54 and 21,809.00

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Solution

The fourth proportional to 32,413.22, 44,742.54 and 21,809.00 is: 30,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.22 : 44,742.54 = 21,809.00 : x
  2. Step 2: Convert to fraction form
    32,413.22/44,742.54 = 21,809.00/x
  3. Step 3: Cross multiply
    32,413.22x = 44,742.54 × 21,809.00
  4. Step 4: Simplify right side
    32,413.22x = 975,790,248.50
  5. Step 5: Solve for x
    x = 975,790,248.50/32,413.22
  6. Step 6: Final answer
    x = 30,104.70

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1.5x scale

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.