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Finding the Fourth Proportional to 119,842, 179,763 and 32,290

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Solution

The fourth proportional to 119,842, 179,763 and 32,290 is: 48,435

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,842 : 179,763 = 32,290 : x
  2. Step 2: Convert to fraction form
    119,842/179,763 = 32,290/x
  3. Step 3: Cross multiply
    119,842x = 179,763 × 32,290
  4. Step 4: Simplify right side
    119,842x = 5,804,547,270
  5. Step 5: Solve for x
    x = 5,804,547,270/119,842
  6. Step 6: Final answer
    x = 48,435

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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.