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Finding the Fourth Proportional to 34,686.95, 47,865.24 and 19,583.28

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Solution

The fourth proportional to 34,686.95, 47,865.24 and 19,583.28 is: 27,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686.95 : 47,865.24 = 19,583.28 : x
  2. Step 2: Convert to fraction form
    34,686.95/47,865.24 = 19,583.28/x
  3. Step 3: Cross multiply
    34,686.95x = 47,865.24 × 19,583.28
  4. Step 4: Simplify right side
    34,686.95x = 937,358,397.19
  5. Step 5: Solve for x
    x = 937,358,397.19/34,686.95
  6. Step 6: Final answer
    x = 27,023.38

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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.