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Finding the Fourth Proportional to 56,339.40, 84,498.30 and 16,897.80

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Solution

The fourth proportional to 56,339.40, 84,498.30 and 16,897.80 is: 25,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,339.40 : 84,498.30 = 16,897.80 : x
  2. Step 2: Convert to fraction form
    56,339.40/84,498.30 = 16,897.80/x
  3. Step 3: Cross multiply
    56,339.40x = 84,498.30 × 16,897.80
  4. Step 4: Simplify right side
    56,339.40x = 1,427,835,373.74
  5. Step 5: Solve for x
    x = 1,427,835,373.74/56,339.40
  6. Step 6: Final answer
    x = 25,343.46

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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.