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Finding the Fourth Proportional to 45,702.40, 68,596.80 and 28,206.40

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Solution

The fourth proportional to 45,702.40, 68,596.80 and 28,206.40 is: 42,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,702.40 : 68,596.80 = 28,206.40 : x
  2. Step 2: Convert to fraction form
    45,702.40/68,596.80 = 28,206.40/x
  3. Step 3: Cross multiply
    45,702.40x = 68,596.80 × 28,206.40
  4. Step 4: Simplify right side
    45,702.40x = 1,934,868,779.52
  5. Step 5: Solve for x
    x = 1,934,868,779.52/45,702.40
  6. Step 6: Final answer
    x = 42,336.26

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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.