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Finding the Fourth Proportional to 34,702.44, 52,047.80 and 9,736.76

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Solution

The fourth proportional to 34,702.44, 52,047.80 and 9,736.76 is: 14,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.44 : 52,047.80 = 9,736.76 : x
  2. Step 2: Convert to fraction form
    34,702.44/52,047.80 = 9,736.76/x
  3. Step 3: Cross multiply
    34,702.44x = 52,047.80 × 9,736.76
  4. Step 4: Simplify right side
    34,702.44x = 506,776,937.13
  5. Step 5: Solve for x
    x = 506,776,937.13/34,702.44
  6. Step 6: Final answer
    x = 14,603.50

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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.