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Finding the Fourth Proportional to 46,924, 64,754.32 and 25,703.20

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Solution

The fourth proportional to 46,924, 64,754.32 and 25,703.20 is: 35,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,924 : 64,754.32 = 25,703.20 : x
  2. Step 2: Convert to fraction form
    46,924/64,754.32 = 25,703.20/x
  3. Step 3: Cross multiply
    46,924x = 64,754.32 × 25,703.20
  4. Step 4: Simplify right side
    46,924x = 1,664,393,237.82
  5. Step 5: Solve for x
    x = 1,664,393,237.82/46,924
  6. Step 6: Final answer
    x = 35,469.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.