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Finding the Fourth Proportional to 74,804, 103,222.14 and 52,191.60

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Solution

The fourth proportional to 74,804, 103,222.14 and 52,191.60 is: 72,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,804 : 103,222.14 = 52,191.60 : x
  2. Step 2: Convert to fraction form
    74,804/103,222.14 = 52,191.60/x
  3. Step 3: Cross multiply
    74,804x = 103,222.14 × 52,191.60
  4. Step 4: Simplify right side
    74,804x = 5,387,328,642.02
  5. Step 5: Solve for x
    x = 5,387,328,642.02/74,804
  6. Step 6: Final answer
    x = 72,019.26

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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.