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Finding the Fourth Proportional to 53,841.96, 74,274.30 and 31,473

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Solution

The fourth proportional to 53,841.96, 74,274.30 and 31,473 is: 43,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841.96 : 74,274.30 = 31,473 : x
  2. Step 2: Convert to fraction form
    53,841.96/74,274.30 = 31,473/x
  3. Step 3: Cross multiply
    53,841.96x = 74,274.30 × 31,473
  4. Step 4: Simplify right side
    53,841.96x = 2,337,635,043.90
  5. Step 5: Solve for x
    x = 2,337,635,043.90/53,841.96
  6. Step 6: Final answer
    x = 43,416.60

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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.