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Finding the Fourth Proportional to 70,510, 105,769.32 and 21,262

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Solution

The fourth proportional to 70,510, 105,769.32 and 21,262 is: 31,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510 : 105,769.32 = 21,262 : x
  2. Step 2: Convert to fraction form
    70,510/105,769.32 = 21,262/x
  3. Step 3: Cross multiply
    70,510x = 105,769.32 × 21,262
  4. Step 4: Simplify right side
    70,510x = 2,248,867,281.84
  5. Step 5: Solve for x
    x = 2,248,867,281.84/70,510
  6. Step 6: Final answer
    x = 31,894.30

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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.