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Finding the Fourth Proportional to 30,541.40, 42,139.76 and 20,466.16

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Solution

The fourth proportional to 30,541.40, 42,139.76 and 20,466.16 is: 28,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.40 : 42,139.76 = 20,466.16 : x
  2. Step 2: Convert to fraction form
    30,541.40/42,139.76 = 20,466.16/x
  3. Step 3: Cross multiply
    30,541.40x = 42,139.76 × 20,466.16
  4. Step 4: Simplify right side
    30,541.40x = 862,439,070.52
  5. Step 5: Solve for x
    x = 862,439,070.52/30,541.40
  6. Step 6: Final answer
    x = 28,238.36

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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.