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Finding the Fourth Proportional to 35,457.82, 48,931.90 and 19,541.90

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Solution

The fourth proportional to 35,457.82, 48,931.90 and 19,541.90 is: 26,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457.82 : 48,931.90 = 19,541.90 : x
  2. Step 2: Convert to fraction form
    35,457.82/48,931.90 = 19,541.90/x
  3. Step 3: Cross multiply
    35,457.82x = 48,931.90 × 19,541.90
  4. Step 4: Simplify right side
    35,457.82x = 956,222,296.61
  5. Step 5: Solve for x
    x = 956,222,296.61/35,457.82
  6. Step 6: Final answer
    x = 26,967.88

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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.