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Finding the Fourth Proportional to 76,295.13, 105,373.50 and 52,054.50

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Solution

The fourth proportional to 76,295.13, 105,373.50 and 52,054.50 is: 71,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.13 : 105,373.50 = 52,054.50 : x
  2. Step 2: Convert to fraction form
    76,295.13/105,373.50 = 52,054.50/x
  3. Step 3: Cross multiply
    76,295.13x = 105,373.50 × 52,054.50
  4. Step 4: Simplify right side
    76,295.13x = 5,485,164,855.75
  5. Step 5: Solve for x
    x = 5,485,164,855.75/76,295.13
  6. Step 6: Final answer
    x = 71,894.04

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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.