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Finding the Fourth Proportional to 102,479.83, 153,741.63 and 35,924.02

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Solution

The fourth proportional to 102,479.83, 153,741.63 and 35,924.02 is: 53,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,479.83 : 153,741.63 = 35,924.02 : x
  2. Step 2: Convert to fraction form
    102,479.83/153,741.63 = 35,924.02/x
  3. Step 3: Cross multiply
    102,479.83x = 153,741.63 × 35,924.02
  4. Step 4: Simplify right side
    102,479.83x = 5,523,017,390.95
  5. Step 5: Solve for x
    x = 5,523,017,390.95/102,479.83
  6. Step 6: Final answer
    x = 53,893.70

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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.