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Finding the Fourth Proportional to 52,417.28, 78,638.22 and 17,356.95

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Solution

The fourth proportional to 52,417.28, 78,638.22 and 17,356.95 is: 26,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,417.28 : 78,638.22 = 17,356.95 : x
  2. Step 2: Convert to fraction form
    52,417.28/78,638.22 = 17,356.95/x
  3. Step 3: Cross multiply
    52,417.28x = 78,638.22 × 17,356.95
  4. Step 4: Simplify right side
    52,417.28x = 1,364,919,652.63
  5. Step 5: Solve for x
    x = 1,364,919,652.63/52,417.28
  6. Step 6: Final answer
    x = 26,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.