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Finding the Fourth Proportional to 46,872.52, 64,702.86 and 28,006.12

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Solution

The fourth proportional to 46,872.52, 64,702.86 and 28,006.12 is: 38,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,872.52 : 64,702.86 = 28,006.12 : x
  2. Step 2: Convert to fraction form
    46,872.52/64,702.86 = 28,006.12/x
  3. Step 3: Cross multiply
    46,872.52x = 64,702.86 × 28,006.12
  4. Step 4: Simplify right side
    46,872.52x = 1,812,076,061.50
  5. Step 5: Solve for x
    x = 1,812,076,061.50/46,872.52
  6. Step 6: Final answer
    x = 38,659.67

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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.