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Finding the Fourth Proportional to 29,807.95, 41,106.78 and 19,580.93

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Solution

The fourth proportional to 29,807.95, 41,106.78 and 19,580.93 is: 27,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,807.95 : 41,106.78 = 19,580.93 : x
  2. Step 2: Convert to fraction form
    29,807.95/41,106.78 = 19,580.93/x
  3. Step 3: Cross multiply
    29,807.95x = 41,106.78 × 19,580.93
  4. Step 4: Simplify right side
    29,807.95x = 804,908,678.27
  5. Step 5: Solve for x
    x = 804,908,678.27/29,807.95
  6. Step 6: Final answer
    x = 27,003.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.