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Finding the Fourth Proportional to 102,475.83, 153,735.63 and 35,920.02

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Solution

The fourth proportional to 102,475.83, 153,735.63 and 35,920.02 is: 53,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475.83 : 153,735.63 = 35,920.02 : x
  2. Step 2: Convert to fraction form
    102,475.83/153,735.63 = 35,920.02/x
  3. Step 3: Cross multiply
    102,475.83x = 153,735.63 × 35,920.02
  4. Step 4: Simplify right side
    102,475.83x = 5,522,186,904.31
  5. Step 5: Solve for x
    x = 5,522,186,904.31/102,475.83
  6. Step 6: Final answer
    x = 53,887.70

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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.