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Finding the Fourth Proportional to 59,897.40, 89,846.10 and 54,065.40

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Solution

The fourth proportional to 59,897.40, 89,846.10 and 54,065.40 is: 81,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,897.40 : 89,846.10 = 54,065.40 : x
  2. Step 2: Convert to fraction form
    59,897.40/89,846.10 = 54,065.40/x
  3. Step 3: Cross multiply
    59,897.40x = 89,846.10 × 54,065.40
  4. Step 4: Simplify right side
    59,897.40x = 4,857,565,334.94
  5. Step 5: Solve for x
    x = 4,857,565,334.94/59,897.40
  6. Step 6: Final answer
    x = 81,098.10

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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.