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Finding the Fourth Proportional to 52,391.76, 78,602.13 and 17,356.02

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Solution

The fourth proportional to 52,391.76, 78,602.13 and 17,356.02 is: 26,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,391.76 : 78,602.13 = 17,356.02 : x
  2. Step 2: Convert to fraction form
    52,391.76/78,602.13 = 17,356.02/x
  3. Step 3: Cross multiply
    52,391.76x = 78,602.13 × 17,356.02
  4. Step 4: Simplify right side
    52,391.76x = 1,364,220,140.32
  5. Step 5: Solve for x
    x = 1,364,220,140.32/52,391.76
  6. Step 6: Final answer
    x = 26,038.83

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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.