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Finding the Fourth Proportional to 46,935, 70,402.68 and 14,103

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Solution

The fourth proportional to 46,935, 70,402.68 and 14,103 is: 21,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,935 : 70,402.68 = 14,103 : x
  2. Step 2: Convert to fraction form
    46,935/70,402.68 = 14,103/x
  3. Step 3: Cross multiply
    46,935x = 70,402.68 × 14,103
  4. Step 4: Simplify right side
    46,935x = 992,888,996.04
  5. Step 5: Solve for x
    x = 992,888,996.04/46,935
  6. Step 6: Final answer
    x = 21,154.55

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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.