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Finding the Fourth Proportional to 46,597.09, 64,304.10 and 25,375.90

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Solution

The fourth proportional to 46,597.09, 64,304.10 and 25,375.90 is: 35,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,597.09 : 64,304.10 = 25,375.90 : x
  2. Step 2: Convert to fraction form
    46,597.09/64,304.10 = 25,375.90/x
  3. Step 3: Cross multiply
    46,597.09x = 64,304.10 × 25,375.90
  4. Step 4: Simplify right side
    46,597.09x = 1,631,774,411.19
  5. Step 5: Solve for x
    x = 1,631,774,411.19/46,597.09
  6. Step 6: Final answer
    x = 35,018.81

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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.