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Finding the Fourth Proportional to 94,853.14, 130,897.29 and 52,411.30

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Solution

The fourth proportional to 94,853.14, 130,897.29 and 52,411.30 is: 72,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,853.14 : 130,897.29 = 52,411.30 : x
  2. Step 2: Convert to fraction form
    94,853.14/130,897.29 = 52,411.30/x
  3. Step 3: Cross multiply
    94,853.14x = 130,897.29 × 52,411.30
  4. Step 4: Simplify right side
    94,853.14x = 6,860,497,135.38
  5. Step 5: Solve for x
    x = 6,860,497,135.38/94,853.14
  6. Step 6: Final answer
    x = 72,327.57

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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.