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Finding the Fourth Proportional to 83,364.04, 115,051.62 and 47,562.88

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Solution

The fourth proportional to 83,364.04, 115,051.62 and 47,562.88 is: 65,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,364.04 : 115,051.62 = 47,562.88 : x
  2. Step 2: Convert to fraction form
    83,364.04/115,051.62 = 47,562.88/x
  3. Step 3: Cross multiply
    83,364.04x = 115,051.62 × 47,562.88
  4. Step 4: Simplify right side
    83,364.04x = 5,472,186,395.87
  5. Step 5: Solve for x
    x = 5,472,186,395.87/83,364.04
  6. Step 6: Final answer
    x = 65,642.05

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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.