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Finding the Fourth Proportional to 106,783.26, 147,347.91 and 59,029.98

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Solution

The fourth proportional to 106,783.26, 147,347.91 and 59,029.98 is: 81,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,783.26 : 147,347.91 = 59,029.98 : x
  2. Step 2: Convert to fraction form
    106,783.26/147,347.91 = 59,029.98/x
  3. Step 3: Cross multiply
    106,783.26x = 147,347.91 × 59,029.98
  4. Step 4: Simplify right side
    106,783.26x = 8,697,944,180.34
  5. Step 5: Solve for x
    x = 8,697,944,180.34/106,783.26
  6. Step 6: Final answer
    x = 81,454.19

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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.