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Finding the Fourth Proportional to 97,014.96, 133,916.04 and 61,228.32

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Solution

The fourth proportional to 97,014.96, 133,916.04 and 61,228.32 is: 84,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014.96 : 133,916.04 = 61,228.32 : x
  2. Step 2: Convert to fraction form
    97,014.96/133,916.04 = 61,228.32/x
  3. Step 3: Cross multiply
    97,014.96x = 133,916.04 × 61,228.32
  4. Step 4: Simplify right side
    97,014.96x = 8,199,454,150.25
  5. Step 5: Solve for x
    x = 8,199,454,150.25/97,014.96
  6. Step 6: Final answer
    x = 84,517.42

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1.5x scale

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.