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Finding the Fourth Proportional to 98,588.32, 147,895.80 and 32,006.86

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Solution

The fourth proportional to 98,588.32, 147,895.80 and 32,006.86 is: 48,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588.32 : 147,895.80 = 32,006.86 : x
  2. Step 2: Convert to fraction form
    98,588.32/147,895.80 = 32,006.86/x
  3. Step 3: Cross multiply
    98,588.32x = 147,895.80 × 32,006.86
  4. Step 4: Simplify right side
    98,588.32x = 4,733,680,165.19
  5. Step 5: Solve for x
    x = 4,733,680,165.19/98,588.32
  6. Step 6: Final answer
    x = 48,014.61

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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.