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Finding the Fourth Proportional to 78,352.08, 108,125.76 and 42,543

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Solution

The fourth proportional to 78,352.08, 108,125.76 and 42,543 is: 58,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,352.08 : 108,125.76 = 42,543 : x
  2. Step 2: Convert to fraction form
    78,352.08/108,125.76 = 42,543/x
  3. Step 3: Cross multiply
    78,352.08x = 108,125.76 × 42,543
  4. Step 4: Simplify right side
    78,352.08x = 4,599,994,207.68
  5. Step 5: Solve for x
    x = 4,599,994,207.68/78,352.08
  6. Step 6: Final answer
    x = 58,709.28

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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.