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Finding the Fourth Proportional to 117,098.81, 175,672.51 and 46,983.59

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Solution

The fourth proportional to 117,098.81, 175,672.51 and 46,983.59 is: 70,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098.81 : 175,672.51 = 46,983.59 : x
  2. Step 2: Convert to fraction form
    117,098.81/175,672.51 = 46,983.59/x
  3. Step 3: Cross multiply
    117,098.81x = 175,672.51 × 46,983.59
  4. Step 4: Simplify right side
    117,098.81x = 8,253,725,111.34
  5. Step 5: Solve for x
    x = 8,253,725,111.34/117,098.81
  6. Step 6: Final answer
    x = 70,485.13

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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.