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Finding the Fourth Proportional to 46,596.86, 64,303.22 and 25,376.48

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Solution

The fourth proportional to 46,596.86, 64,303.22 and 25,376.48 is: 35,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596.86 : 64,303.22 = 25,376.48 : x
  2. Step 2: Convert to fraction form
    46,596.86/64,303.22 = 25,376.48/x
  3. Step 3: Cross multiply
    46,596.86x = 64,303.22 × 25,376.48
  4. Step 4: Simplify right side
    46,596.86x = 1,631,788,927.87
  5. Step 5: Solve for x
    x = 1,631,788,927.87/46,596.86
  6. Step 6: Final answer
    x = 35,019.29

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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.