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Finding the Fourth Proportional to 102,895.98, 154,342.35 and 32,774.28

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Solution

The fourth proportional to 102,895.98, 154,342.35 and 32,774.28 is: 49,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,895.98 : 154,342.35 = 32,774.28 : x
  2. Step 2: Convert to fraction form
    102,895.98/154,342.35 = 32,774.28/x
  3. Step 3: Cross multiply
    102,895.98x = 154,342.35 × 32,774.28
  4. Step 4: Simplify right side
    102,895.98x = 5,058,459,394.76
  5. Step 5: Solve for x
    x = 5,058,459,394.76/102,895.98
  6. Step 6: Final answer
    x = 49,160.90

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1.5x scale

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.