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Finding the Fourth Proportional to 53,820.48, 74,258.46 and 32,592

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Solution

The fourth proportional to 53,820.48, 74,258.46 and 32,592 is: 44,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.48 : 74,258.46 = 32,592 : x
  2. Step 2: Convert to fraction form
    53,820.48/74,258.46 = 32,592/x
  3. Step 3: Cross multiply
    53,820.48x = 74,258.46 × 32,592
  4. Step 4: Simplify right side
    53,820.48x = 2,420,231,728.32
  5. Step 5: Solve for x
    x = 2,420,231,728.32/53,820.48
  6. Step 6: Final answer
    x = 44,968.60

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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.