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Finding the Fourth Proportional to 53,204.32, 73,425.72 and 30,547

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Solution

The fourth proportional to 53,204.32, 73,425.72 and 30,547 is: 42,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.32 : 73,425.72 = 30,547 : x
  2. Step 2: Convert to fraction form
    53,204.32/73,425.72 = 30,547/x
  3. Step 3: Cross multiply
    53,204.32x = 73,425.72 × 30,547
  4. Step 4: Simplify right side
    53,204.32x = 2,242,935,468.84
  5. Step 5: Solve for x
    x = 2,242,935,468.84/53,204.32
  6. Step 6: Final answer
    x = 42,157.02

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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.