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Finding the Fourth Proportional to 83,419.07, 115,117.61 and 45,693.32

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Solution

The fourth proportional to 83,419.07, 115,117.61 and 45,693.32 is: 63,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419.07 : 115,117.61 = 45,693.32 : x
  2. Step 2: Convert to fraction form
    83,419.07/115,117.61 = 45,693.32/x
  3. Step 3: Cross multiply
    83,419.07x = 115,117.61 × 45,693.32
  4. Step 4: Simplify right side
    83,419.07x = 5,260,104,987.31
  5. Step 5: Solve for x
    x = 5,260,104,987.31/83,419.07
  6. Step 6: Final answer
    x = 63,056.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.