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Finding the Fourth Proportional to 30,536.19, 45,802.08 and 9,475.68

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Solution

The fourth proportional to 30,536.19, 45,802.08 and 9,475.68 is: 14,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.19 : 45,802.08 = 9,475.68 : x
  2. Step 2: Convert to fraction form
    30,536.19/45,802.08 = 9,475.68/x
  3. Step 3: Cross multiply
    30,536.19x = 45,802.08 × 9,475.68
  4. Step 4: Simplify right side
    30,536.19x = 434,005,853.41
  5. Step 5: Solve for x
    x = 434,005,853.41/30,536.19
  6. Step 6: Final answer
    x = 14,212.84

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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.