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Finding the Fourth Proportional to 54,656.39, 75,428.15 and 30,457.38

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Solution

The fourth proportional to 54,656.39, 75,428.15 and 30,457.38 is: 42,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656.39 : 75,428.15 = 30,457.38 : x
  2. Step 2: Convert to fraction form
    54,656.39/75,428.15 = 30,457.38/x
  3. Step 3: Cross multiply
    54,656.39x = 75,428.15 × 30,457.38
  4. Step 4: Simplify right side
    54,656.39x = 2,297,343,903.39
  5. Step 5: Solve for x
    x = 2,297,343,903.39/54,656.39
  6. Step 6: Final answer
    x = 42,032.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.