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Finding the Fourth Proportional to 46,803.29, 70,186.93 and 36,827.66

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Solution

The fourth proportional to 46,803.29, 70,186.93 and 36,827.66 is: 55,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803.29 : 70,186.93 = 36,827.66 : x
  2. Step 2: Convert to fraction form
    46,803.29/70,186.93 = 36,827.66/x
  3. Step 3: Cross multiply
    46,803.29x = 70,186.93 × 36,827.66
  4. Step 4: Simplify right side
    46,803.29x = 2,584,820,477.88
  5. Step 5: Solve for x
    x = 2,584,820,477.88/46,803.29
  6. Step 6: Final answer
    x = 55,227.33

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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.