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Finding the Fourth Proportional to 72,442.10, 108,686.82 and 35,006.48

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Solution

The fourth proportional to 72,442.10, 108,686.82 and 35,006.48 is: 52,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.10 : 108,686.82 = 35,006.48 : x
  2. Step 2: Convert to fraction form
    72,442.10/108,686.82 = 35,006.48/x
  3. Step 3: Cross multiply
    72,442.10x = 108,686.82 × 35,006.48
  4. Step 4: Simplify right side
    72,442.10x = 3,804,742,990.59
  5. Step 5: Solve for x
    x = 3,804,742,990.59/72,442.10
  6. Step 6: Final answer
    x = 52,521.16

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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.