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Finding the Fourth Proportional to 98,628, 147,942 and 32,964

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Solution

The fourth proportional to 98,628, 147,942 and 32,964 is: 49,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,628 : 147,942 = 32,964 : x
  2. Step 2: Convert to fraction form
    98,628/147,942 = 32,964/x
  3. Step 3: Cross multiply
    98,628x = 147,942 × 32,964
  4. Step 4: Simplify right side
    98,628x = 4,876,760,088
  5. Step 5: Solve for x
    x = 4,876,760,088/98,628
  6. Step 6: Final answer
    x = 49,446

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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.