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Finding the Fourth Proportional to 98,288.46, 147,432.67 and 24,416.46

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Solution

The fourth proportional to 98,288.46, 147,432.67 and 24,416.46 is: 36,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,288.46 : 147,432.67 = 24,416.46 : x
  2. Step 2: Convert to fraction form
    98,288.46/147,432.67 = 24,416.46/x
  3. Step 3: Cross multiply
    98,288.46x = 147,432.67 × 24,416.46
  4. Step 4: Simplify right side
    98,288.46x = 3,599,783,828.71
  5. Step 5: Solve for x
    x = 3,599,783,828.71/98,288.46
  6. Step 6: Final answer
    x = 36,624.68

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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.