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Finding the Fourth Proportional to 35,207.86, 48,593.23 and 22,465

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Solution

The fourth proportional to 35,207.86, 48,593.23 and 22,465 is: 31,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.86 : 48,593.23 = 22,465 : x
  2. Step 2: Convert to fraction form
    35,207.86/48,593.23 = 22,465/x
  3. Step 3: Cross multiply
    35,207.86x = 48,593.23 × 22,465
  4. Step 4: Simplify right side
    35,207.86x = 1,091,646,799.63
  5. Step 5: Solve for x
    x = 1,091,646,799.63/35,207.86
  6. Step 6: Final answer
    x = 31,005.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.