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Finding the Fourth Proportional to 46,725.95, 64,462.28 and 30,597.23

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Solution

The fourth proportional to 46,725.95, 64,462.28 and 30,597.23 is: 42,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,725.95 : 64,462.28 = 30,597.23 : x
  2. Step 2: Convert to fraction form
    46,725.95/64,462.28 = 30,597.23/x
  3. Step 3: Cross multiply
    46,725.95x = 64,462.28 × 30,597.23
  4. Step 4: Simplify right side
    46,725.95x = 1,972,366,732.19
  5. Step 5: Solve for x
    x = 1,972,366,732.19/46,725.95
  6. Step 6: Final answer
    x = 42,211.38

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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.