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Finding the Fourth Proportional to 30,313.68, 45,470.58 and 10,592.22

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Solution

The fourth proportional to 30,313.68, 45,470.58 and 10,592.22 is: 15,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.68 : 45,470.58 = 10,592.22 : x
  2. Step 2: Convert to fraction form
    30,313.68/45,470.58 = 10,592.22/x
  3. Step 3: Cross multiply
    30,313.68x = 45,470.58 × 10,592.22
  4. Step 4: Simplify right side
    30,313.68x = 481,634,386.89
  5. Step 5: Solve for x
    x = 481,634,386.89/30,313.68
  6. Step 6: Final answer
    x = 15,888.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.