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Finding the Fourth Proportional to 46,458, 69,695.64 and 21,834

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Solution

The fourth proportional to 46,458, 69,695.64 and 21,834 is: 32,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,458 : 69,695.64 = 21,834 : x
  2. Step 2: Convert to fraction form
    46,458/69,695.64 = 21,834/x
  3. Step 3: Cross multiply
    46,458x = 69,695.64 × 21,834
  4. Step 4: Simplify right side
    46,458x = 1,521,734,603.76
  5. Step 5: Solve for x
    x = 1,521,734,603.76/46,458
  6. Step 6: Final answer
    x = 32,755.06

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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.