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Finding the Fourth Proportional to 34,855.66, 52,275.65 and 9,895.17

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Solution

The fourth proportional to 34,855.66, 52,275.65 and 9,895.17 is: 14,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,855.66 : 52,275.65 = 9,895.17 : x
  2. Step 2: Convert to fraction form
    34,855.66/52,275.65 = 9,895.17/x
  3. Step 3: Cross multiply
    34,855.66x = 52,275.65 × 9,895.17
  4. Step 4: Simplify right side
    34,855.66x = 517,276,443.61
  5. Step 5: Solve for x
    x = 517,276,443.61/34,855.66
  6. Step 6: Final answer
    x = 14,840.53

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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.