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Finding the Fourth Proportional to 92,947.10, 128,268.16 and 50,506.34

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Solution

The fourth proportional to 92,947.10, 128,268.16 and 50,506.34 is: 69,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,947.10 : 128,268.16 = 50,506.34 : x
  2. Step 2: Convert to fraction form
    92,947.10/128,268.16 = 50,506.34/x
  3. Step 3: Cross multiply
    92,947.10x = 128,268.16 × 50,506.34
  4. Step 4: Simplify right side
    92,947.10x = 6,478,354,532.53
  5. Step 5: Solve for x
    x = 6,478,354,532.53/92,947.10
  6. Step 6: Final answer
    x = 69,699.38

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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.