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Finding the Fourth Proportional to 46,412, 64,048.64 and 26,540

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Solution

The fourth proportional to 46,412, 64,048.64 and 26,540 is: 36,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412 : 64,048.64 = 26,540 : x
  2. Step 2: Convert to fraction form
    46,412/64,048.64 = 26,540/x
  3. Step 3: Cross multiply
    46,412x = 64,048.64 × 26,540
  4. Step 4: Simplify right side
    46,412x = 1,699,850,905.60
  5. Step 5: Solve for x
    x = 1,699,850,905.60/46,412
  6. Step 6: Final answer
    x = 36,625.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.