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Finding the Fourth Proportional to 35,207.68, 48,570.35 and 31,178.63

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Solution

The fourth proportional to 35,207.68, 48,570.35 and 31,178.63 is: 43,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.68 : 48,570.35 = 31,178.63 : x
  2. Step 2: Convert to fraction form
    35,207.68/48,570.35 = 31,178.63/x
  3. Step 3: Cross multiply
    35,207.68x = 48,570.35 × 31,178.63
  4. Step 4: Simplify right side
    35,207.68x = 1,514,356,971.62
  5. Step 5: Solve for x
    x = 1,514,356,971.62/35,207.68
  6. Step 6: Final answer
    x = 43,012.12

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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.