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Finding the Fourth Proportional to 42,106.01, 58,106.18 and 23,243

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Solution

The fourth proportional to 42,106.01, 58,106.18 and 23,243 is: 32,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.01 : 58,106.18 = 23,243 : x
  2. Step 2: Convert to fraction form
    42,106.01/58,106.18 = 23,243/x
  3. Step 3: Cross multiply
    42,106.01x = 58,106.18 × 23,243
  4. Step 4: Simplify right side
    42,106.01x = 1,350,561,825.53
  5. Step 5: Solve for x
    x = 1,350,561,825.53/42,106.01
  6. Step 6: Final answer
    x = 32,075.27

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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.