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Finding the Fourth Proportional to 74,075.40, 102,224.32 and 40,083.88

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Solution

The fourth proportional to 74,075.40, 102,224.32 and 40,083.88 is: 55,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.40 : 102,224.32 = 40,083.88 : x
  2. Step 2: Convert to fraction form
    74,075.40/102,224.32 = 40,083.88/x
  3. Step 3: Cross multiply
    74,075.40x = 102,224.32 × 40,083.88
  4. Step 4: Simplify right side
    74,075.40x = 4,097,547,671.30
  5. Step 5: Solve for x
    x = 4,097,547,671.30/74,075.40
  6. Step 6: Final answer
    x = 55,315.91

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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.