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Finding the Fourth Proportional to 83,075.27, 114,643.26 and 45,349.52

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Solution

The fourth proportional to 83,075.27, 114,643.26 and 45,349.52 is: 62,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.27 : 114,643.26 = 45,349.52 : x
  2. Step 2: Convert to fraction form
    83,075.27/114,643.26 = 45,349.52/x
  3. Step 3: Cross multiply
    83,075.27x = 114,643.26 × 45,349.52
  4. Step 4: Simplify right side
    83,075.27x = 5,199,016,239.02
  5. Step 5: Solve for x
    x = 5,199,016,239.02/83,075.27
  6. Step 6: Final answer
    x = 62,582.00

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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.