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Finding the Fourth Proportional to 70,058.52, 105,084.84 and 32,605.71

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Solution

The fourth proportional to 70,058.52, 105,084.84 and 32,605.71 is: 48,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,058.52 : 105,084.84 = 32,605.71 : x
  2. Step 2: Convert to fraction form
    70,058.52/105,084.84 = 32,605.71/x
  3. Step 3: Cross multiply
    70,058.52x = 105,084.84 × 32,605.71
  4. Step 4: Simplify right side
    70,058.52x = 3,426,365,818.44
  5. Step 5: Solve for x
    x = 3,426,365,818.44/70,058.52
  6. Step 6: Final answer
    x = 48,907.20

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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.