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Finding the Fourth Proportional to 102,392.31, 153,577.54 and 35,833.71

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Solution

The fourth proportional to 102,392.31, 153,577.54 and 35,833.71 is: 53,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.31 : 153,577.54 = 35,833.71 : x
  2. Step 2: Convert to fraction form
    102,392.31/153,577.54 = 35,833.71/x
  3. Step 3: Cross multiply
    102,392.31x = 153,577.54 × 35,833.71
  4. Step 4: Simplify right side
    102,392.31x = 5,503,253,030.87
  5. Step 5: Solve for x
    x = 5,503,253,030.87/102,392.31
  6. Step 6: Final answer
    x = 53,746.74

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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.