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Finding the Fourth Proportional to 53,654.34, 74,039.40 and 32,445.30

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Solution

The fourth proportional to 53,654.34, 74,039.40 and 32,445.30 is: 44,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654.34 : 74,039.40 = 32,445.30 : x
  2. Step 2: Convert to fraction form
    53,654.34/74,039.40 = 32,445.30/x
  3. Step 3: Cross multiply
    53,654.34x = 74,039.40 × 32,445.30
  4. Step 4: Simplify right side
    53,654.34x = 2,402,230,544.82
  5. Step 5: Solve for x
    x = 2,402,230,544.82/53,654.34
  6. Step 6: Final answer
    x = 44,772.34

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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.