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Finding the Fourth Proportional to 34,670, 52,013.64 and 10,046

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Solution

The fourth proportional to 34,670, 52,013.64 and 10,046 is: 15,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670 : 52,013.64 = 10,046 : x
  2. Step 2: Convert to fraction form
    34,670/52,013.64 = 10,046/x
  3. Step 3: Cross multiply
    34,670x = 52,013.64 × 10,046
  4. Step 4: Simplify right side
    34,670x = 522,529,027.44
  5. Step 5: Solve for x
    x = 522,529,027.44/34,670
  6. Step 6: Final answer
    x = 15,071.50

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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.