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Finding the Fourth Proportional to 46,897, 70,362.78 and 24,709.48

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Solution

The fourth proportional to 46,897, 70,362.78 and 24,709.48 is: 37,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897 : 70,362.78 = 24,709.48 : x
  2. Step 2: Convert to fraction form
    46,897/70,362.78 = 24,709.48/x
  3. Step 3: Cross multiply
    46,897x = 70,362.78 × 24,709.48
  4. Step 4: Simplify right side
    46,897x = 1,738,627,705.15
  5. Step 5: Solve for x
    x = 1,738,627,705.15/46,897
  6. Step 6: Final answer
    x = 37,073.32

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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.