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Finding the Fourth Proportional to 103,702.64, 155,578.80 and 33,582.08

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Solution

The fourth proportional to 103,702.64, 155,578.80 and 33,582.08 is: 50,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702.64 : 155,578.80 = 33,582.08 : x
  2. Step 2: Convert to fraction form
    103,702.64/155,578.80 = 33,582.08/x
  3. Step 3: Cross multiply
    103,702.64x = 155,578.80 × 33,582.08
  4. Step 4: Simplify right side
    103,702.64x = 5,224,659,707.90
  5. Step 5: Solve for x
    x = 5,224,659,707.90/103,702.64
  6. Step 6: Final answer
    x = 50,381.16

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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.