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Finding the Fourth Proportional to 30,106.14, 41,527.66 and 19,365

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Solution

The fourth proportional to 30,106.14, 41,527.66 and 19,365 is: 26,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.14 : 41,527.66 = 19,365 : x
  2. Step 2: Convert to fraction form
    30,106.14/41,527.66 = 19,365/x
  3. Step 3: Cross multiply
    30,106.14x = 41,527.66 × 19,365
  4. Step 4: Simplify right side
    30,106.14x = 804,183,135.90
  5. Step 5: Solve for x
    x = 804,183,135.90/30,106.14
  6. Step 6: Final answer
    x = 26,711.60

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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.