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Finding the Fourth Proportional to 32,877.77, 45,318.01 and 25,695

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Solution

The fourth proportional to 32,877.77, 45,318.01 and 25,695 is: 35,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.77 : 45,318.01 = 25,695 : x
  2. Step 2: Convert to fraction form
    32,877.77/45,318.01 = 25,695/x
  3. Step 3: Cross multiply
    32,877.77x = 45,318.01 × 25,695
  4. Step 4: Simplify right side
    32,877.77x = 1,164,446,266.95
  5. Step 5: Solve for x
    x = 1,164,446,266.95/32,877.77
  6. Step 6: Final answer
    x = 35,417.43

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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.