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Finding the Fourth Proportional to 30,509.40, 42,073.39 and 23,792.58

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Solution

The fourth proportional to 30,509.40, 42,073.39 and 23,792.58 is: 32,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.40 : 42,073.39 = 23,792.58 : x
  2. Step 2: Convert to fraction form
    30,509.40/42,073.39 = 23,792.58/x
  3. Step 3: Cross multiply
    30,509.40x = 42,073.39 × 23,792.58
  4. Step 4: Simplify right side
    30,509.40x = 1,001,034,527.19
  5. Step 5: Solve for x
    x = 1,001,034,527.19/30,509.40
  6. Step 6: Final answer
    x = 32,810.69

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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.