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Finding the Fourth Proportional to 32,565.60, 44,938.08 and 21,969.60

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Solution

The fourth proportional to 32,565.60, 44,938.08 and 21,969.60 is: 30,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.60 : 44,938.08 = 21,969.60 : x
  2. Step 2: Convert to fraction form
    32,565.60/44,938.08 = 21,969.60/x
  3. Step 3: Cross multiply
    32,565.60x = 44,938.08 × 21,969.60
  4. Step 4: Simplify right side
    32,565.60x = 987,271,642.37
  5. Step 5: Solve for x
    x = 987,271,642.37/32,565.60
  6. Step 6: Final answer
    x = 30,316.40

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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.