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Finding the Fourth Proportional to 30,527.99, 42,124.89 and 17,783.25

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Solution

The fourth proportional to 30,527.99, 42,124.89 and 17,783.25 is: 24,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.99 : 42,124.89 = 17,783.25 : x
  2. Step 2: Convert to fraction form
    30,527.99/42,124.89 = 17,783.25/x
  3. Step 3: Cross multiply
    30,527.99x = 42,124.89 × 17,783.25
  4. Step 4: Simplify right side
    30,527.99x = 749,117,358.81
  5. Step 5: Solve for x
    x = 749,117,358.81/30,527.99
  6. Step 6: Final answer
    x = 24,538.71

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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.