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Finding the Fourth Proportional to 41,178, 61,761.54 and 11,598.16

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Solution

The fourth proportional to 41,178, 61,761.54 and 11,598.16 is: 17,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,178 : 61,761.54 = 11,598.16 : x
  2. Step 2: Convert to fraction form
    41,178/61,761.54 = 11,598.16/x
  3. Step 3: Cross multiply
    41,178x = 61,761.54 × 11,598.16
  4. Step 4: Simplify right side
    41,178x = 716,320,222.77
  5. Step 5: Solve for x
    x = 716,320,222.77/41,178
  6. Step 6: Final answer
    x = 17,395.70

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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.