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Finding the Fourth Proportional to 78,427.78, 117,642.06 and 19,263.46

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Solution

The fourth proportional to 78,427.78, 117,642.06 and 19,263.46 is: 28,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.78 : 117,642.06 = 19,263.46 : x
  2. Step 2: Convert to fraction form
    78,427.78/117,642.06 = 19,263.46/x
  3. Step 3: Cross multiply
    78,427.78x = 117,642.06 × 19,263.46
  4. Step 4: Simplify right side
    78,427.78x = 2,266,193,117.13
  5. Step 5: Solve for x
    x = 2,266,193,117.13/78,427.78
  6. Step 6: Final answer
    x = 28,895.29

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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.