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Finding the Fourth Proportional to 34,032, 46,964.16 and 19,128

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Solution

The fourth proportional to 34,032, 46,964.16 and 19,128 is: 26,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032 : 46,964.16 = 19,128 : x
  2. Step 2: Convert to fraction form
    34,032/46,964.16 = 19,128/x
  3. Step 3: Cross multiply
    34,032x = 46,964.16 × 19,128
  4. Step 4: Simplify right side
    34,032x = 898,330,452.48
  5. Step 5: Solve for x
    x = 898,330,452.48/34,032
  6. Step 6: Final answer
    x = 26,396.64

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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.