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Finding the Fourth Proportional to 35,931.44, 49,587.72 and 24,734

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Solution

The fourth proportional to 35,931.44, 49,587.72 and 24,734 is: 34,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.44 : 49,587.72 = 24,734 : x
  2. Step 2: Convert to fraction form
    35,931.44/49,587.72 = 24,734/x
  3. Step 3: Cross multiply
    35,931.44x = 49,587.72 × 24,734
  4. Step 4: Simplify right side
    35,931.44x = 1,226,502,666.48
  5. Step 5: Solve for x
    x = 1,226,502,666.48/35,931.44
  6. Step 6: Final answer
    x = 34,134.53

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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.