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Finding the Fourth Proportional to 116,064.94, 174,085.80 and 37,157.98

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Solution

The fourth proportional to 116,064.94, 174,085.80 and 37,157.98 is: 55,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,064.94 : 174,085.80 = 37,157.98 : x
  2. Step 2: Convert to fraction form
    116,064.94/174,085.80 = 37,157.98/x
  3. Step 3: Cross multiply
    116,064.94x = 174,085.80 × 37,157.98
  4. Step 4: Simplify right side
    116,064.94x = 6,468,676,674.68
  5. Step 5: Solve for x
    x = 6,468,676,674.68/116,064.94
  6. Step 6: Final answer
    x = 55,733.25

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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.