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Finding the Fourth Proportional to 46,852.38, 64,656.48 and 25,632

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Solution

The fourth proportional to 46,852.38, 64,656.48 and 25,632 is: 35,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852.38 : 64,656.48 = 25,632 : x
  2. Step 2: Convert to fraction form
    46,852.38/64,656.48 = 25,632/x
  3. Step 3: Cross multiply
    46,852.38x = 64,656.48 × 25,632
  4. Step 4: Simplify right side
    46,852.38x = 1,657,274,895.36
  5. Step 5: Solve for x
    x = 1,657,274,895.36/46,852.38
  6. Step 6: Final answer
    x = 35,372.27

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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.