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Finding the Fourth Proportional to 71,075.94, 98,080.56 and 38,804.13

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Solution

The fourth proportional to 71,075.94, 98,080.56 and 38,804.13 is: 53,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.94 : 98,080.56 = 38,804.13 : x
  2. Step 2: Convert to fraction form
    71,075.94/98,080.56 = 38,804.13/x
  3. Step 3: Cross multiply
    71,075.94x = 98,080.56 × 38,804.13
  4. Step 4: Simplify right side
    71,075.94x = 3,805,930,800.71
  5. Step 5: Solve for x
    x = 3,805,930,800.71/71,075.94
  6. Step 6: Final answer
    x = 53,547.39

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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.