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Finding the Fourth Proportional to 30,128.34, 45,191.80 and 10,405.04

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Solution

The fourth proportional to 30,128.34, 45,191.80 and 10,405.04 is: 15,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,128.34 : 45,191.80 = 10,405.04 : x
  2. Step 2: Convert to fraction form
    30,128.34/45,191.80 = 10,405.04/x
  3. Step 3: Cross multiply
    30,128.34x = 45,191.80 × 10,405.04
  4. Step 4: Simplify right side
    30,128.34x = 470,222,486.67
  5. Step 5: Solve for x
    x = 470,222,486.67/30,128.34
  6. Step 6: Final answer
    x = 15,607.31

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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.