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Finding the Fourth Proportional to 83,075.51, 114,633.77 and 47,266.13

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Solution

The fourth proportional to 83,075.51, 114,633.77 and 47,266.13 is: 65,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.51 : 114,633.77 = 47,266.13 : x
  2. Step 2: Convert to fraction form
    83,075.51/114,633.77 = 47,266.13/x
  3. Step 3: Cross multiply
    83,075.51x = 114,633.77 × 47,266.13
  4. Step 4: Simplify right side
    83,075.51x = 5,418,293,865.71
  5. Step 5: Solve for x
    x = 5,418,293,865.71/83,075.51
  6. Step 6: Final answer
    x = 65,221.32

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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.