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Finding the Fourth Proportional to 30,232, 45,352.08 and 9,457.12

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Solution

The fourth proportional to 30,232, 45,352.08 and 9,457.12 is: 14,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232 : 45,352.08 = 9,457.12 : x
  2. Step 2: Convert to fraction form
    30,232/45,352.08 = 9,457.12/x
  3. Step 3: Cross multiply
    30,232x = 45,352.08 × 9,457.12
  4. Step 4: Simplify right side
    30,232x = 428,900,062.81
  5. Step 5: Solve for x
    x = 428,900,062.81/30,232
  6. Step 6: Final answer
    x = 14,186.96

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Why These Related Problems?

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