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Finding the Fourth Proportional to 91,851.74, 137,786.32 and 35,696.19

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Solution

The fourth proportional to 91,851.74, 137,786.32 and 35,696.19 is: 53,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,851.74 : 137,786.32 = 35,696.19 : x
  2. Step 2: Convert to fraction form
    91,851.74/137,786.32 = 35,696.19/x
  3. Step 3: Cross multiply
    91,851.74x = 137,786.32 × 35,696.19
  4. Step 4: Simplify right side
    91,851.74x = 4,918,446,056.87
  5. Step 5: Solve for x
    x = 4,918,446,056.87/91,851.74
  6. Step 6: Final answer
    x = 53,547.66

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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.