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Finding the Fourth Proportional to 46,703, 64,450 and 25,482.26

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Solution

The fourth proportional to 46,703, 64,450 and 25,482.26 is: 35,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,703 : 64,450 = 25,482.26 : x
  2. Step 2: Convert to fraction form
    46,703/64,450 = 25,482.26/x
  3. Step 3: Cross multiply
    46,703x = 64,450 × 25,482.26
  4. Step 4: Simplify right side
    46,703x = 1,642,331,657
  5. Step 5: Solve for x
    x = 1,642,331,657/46,703
  6. Step 6: Final answer
    x = 35,165.44

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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.