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Finding the Fourth Proportional to 46,865.44, 64,675.02 and 25,646.68

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Solution

The fourth proportional to 46,865.44, 64,675.02 and 25,646.68 is: 35,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,865.44 : 64,675.02 = 25,646.68 : x
  2. Step 2: Convert to fraction form
    46,865.44/64,675.02 = 25,646.68/x
  3. Step 3: Cross multiply
    46,865.44x = 64,675.02 × 25,646.68
  4. Step 4: Simplify right side
    46,865.44x = 1,658,699,541.93
  5. Step 5: Solve for x
    x = 1,658,699,541.93/46,865.44
  6. Step 6: Final answer
    x = 35,392.81

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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.