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Finding the Fourth Proportional to 46,702.62, 70,066.17 and 15,538.14

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Solution

The fourth proportional to 46,702.62, 70,066.17 and 15,538.14 is: 23,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702.62 : 70,066.17 = 15,538.14 : x
  2. Step 2: Convert to fraction form
    46,702.62/70,066.17 = 15,538.14/x
  3. Step 3: Cross multiply
    46,702.62x = 70,066.17 × 15,538.14
  4. Step 4: Simplify right side
    46,702.62x = 1,088,697,958.72
  5. Step 5: Solve for x
    x = 1,088,697,958.72/46,702.62
  6. Step 6: Final answer
    x = 23,311.28

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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.