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Finding the Fourth Proportional to 72,032.64, 108,036.48 and 32,580.60

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Solution

The fourth proportional to 72,032.64, 108,036.48 and 32,580.60 is: 48,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032.64 : 108,036.48 = 32,580.60 : x
  2. Step 2: Convert to fraction form
    72,032.64/108,036.48 = 32,580.60/x
  3. Step 3: Cross multiply
    72,032.64x = 108,036.48 × 32,580.60
  4. Step 4: Simplify right side
    72,032.64x = 3,519,893,340.29
  5. Step 5: Solve for x
    x = 3,519,893,340.29/72,032.64
  6. Step 6: Final answer
    x = 48,865.26

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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.