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Finding the Fourth Proportional to 46,702.53, 70,014.51 and 21,729.87

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Solution

The fourth proportional to 46,702.53, 70,014.51 and 21,729.87 is: 32,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702.53 : 70,014.51 = 21,729.87 : x
  2. Step 2: Convert to fraction form
    46,702.53/70,014.51 = 21,729.87/x
  3. Step 3: Cross multiply
    46,702.53x = 70,014.51 × 21,729.87
  4. Step 4: Simplify right side
    46,702.53x = 1,521,406,200.41
  5. Step 5: Solve for x
    x = 1,521,406,200.41/46,702.53
  6. Step 6: Final answer
    x = 32,576.53

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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.