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Finding the Fourth Proportional to 46,590.42, 64,294.86 and 25,369.77

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Solution

The fourth proportional to 46,590.42, 64,294.86 and 25,369.77 is: 35,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590.42 : 64,294.86 = 25,369.77 : x
  2. Step 2: Convert to fraction form
    46,590.42/64,294.86 = 25,369.77/x
  3. Step 3: Cross multiply
    46,590.42x = 64,294.86 × 25,369.77
  4. Step 4: Simplify right side
    46,590.42x = 1,631,145,810.38
  5. Step 5: Solve for x
    x = 1,631,145,810.38/46,590.42
  6. Step 6: Final answer
    x = 35,010.33

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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.