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Finding the Fourth Proportional to 62,368.84, 86,068.74 and 34,075

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Solution

The fourth proportional to 62,368.84, 86,068.74 and 34,075 is: 47,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,368.84 : 86,068.74 = 34,075 : x
  2. Step 2: Convert to fraction form
    62,368.84/86,068.74 = 34,075/x
  3. Step 3: Cross multiply
    62,368.84x = 86,068.74 × 34,075
  4. Step 4: Simplify right side
    62,368.84x = 2,932,792,315.50
  5. Step 5: Solve for x
    x = 2,932,792,315.50/62,368.84
  6. Step 6: Final answer
    x = 47,023.36

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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.