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Finding the Fourth Proportional to 98,582.71, 147,874.06 and 23,702.86

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Solution

The fourth proportional to 98,582.71, 147,874.06 and 23,702.86 is: 35,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,582.71 : 147,874.06 = 23,702.86 : x
  2. Step 2: Convert to fraction form
    98,582.71/147,874.06 = 23,702.86/x
  3. Step 3: Cross multiply
    98,582.71x = 147,874.06 × 23,702.86
  4. Step 4: Simplify right side
    98,582.71x = 3,505,037,402.44
  5. Step 5: Solve for x
    x = 3,505,037,402.44/98,582.71
  6. Step 6: Final answer
    x = 35,554.28

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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.