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Finding the Fourth Proportional to 109,897.83, 164,846.95 and 39,760.74

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Solution

The fourth proportional to 109,897.83, 164,846.95 and 39,760.74 is: 59,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,897.83 : 164,846.95 = 39,760.74 : x
  2. Step 2: Convert to fraction form
    109,897.83/164,846.95 = 39,760.74/x
  3. Step 3: Cross multiply
    109,897.83x = 164,846.95 × 39,760.74
  4. Step 4: Simplify right side
    109,897.83x = 6,554,436,619.34
  5. Step 5: Solve for x
    x = 6,554,436,619.34/109,897.83
  6. Step 6: Final answer
    x = 59,641.18

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1.5x scale

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.