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Finding the Fourth Proportional to 57,053.75, 78,710.04 and 38,196.95

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Solution

The fourth proportional to 57,053.75, 78,710.04 and 38,196.95 is: 52,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.75 : 78,710.04 = 38,196.95 : x
  2. Step 2: Convert to fraction form
    57,053.75/78,710.04 = 38,196.95/x
  3. Step 3: Cross multiply
    57,053.75x = 78,710.04 × 38,196.95
  4. Step 4: Simplify right side
    57,053.75x = 3,006,483,068.83
  5. Step 5: Solve for x
    x = 3,006,483,068.83/57,053.75
  6. Step 6: Final answer
    x = 52,695.63

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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.