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Finding the Fourth Proportional to 43,407.81, 65,437.06 and 40,514.47

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Solution

The fourth proportional to 43,407.81, 65,437.06 and 40,514.47 is: 61,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.81 : 65,437.06 = 40,514.47 : x
  2. Step 2: Convert to fraction form
    43,407.81/65,437.06 = 40,514.47/x
  3. Step 3: Cross multiply
    43,407.81x = 65,437.06 × 40,514.47
  4. Step 4: Simplify right side
    43,407.81x = 2,651,147,804.26
  5. Step 5: Solve for x
    x = 2,651,147,804.26/43,407.81
  6. Step 6: Final answer
    x = 61,075.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.