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Finding the Fourth Proportional to 97,125.75, 145,639.82 and 56,612.32

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Solution

The fourth proportional to 97,125.75, 145,639.82 and 56,612.32 is: 84,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,125.75 : 145,639.82 = 56,612.32 : x
  2. Step 2: Convert to fraction form
    97,125.75/145,639.82 = 56,612.32/x
  3. Step 3: Cross multiply
    97,125.75x = 145,639.82 × 56,612.32
  4. Step 4: Simplify right side
    97,125.75x = 8,245,007,872.01
  5. Step 5: Solve for x
    x = 8,245,007,872.01/97,125.75
  6. Step 6: Final answer
    x = 84,890.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.