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Finding the Fourth Proportional to 53,307, 73,570.14 and 30,951

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Solution

The fourth proportional to 53,307, 73,570.14 and 30,951 is: 42,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,307 : 73,570.14 = 30,951 : x
  2. Step 2: Convert to fraction form
    53,307/73,570.14 = 30,951/x
  3. Step 3: Cross multiply
    53,307x = 73,570.14 × 30,951
  4. Step 4: Simplify right side
    53,307x = 2,277,069,403.14
  5. Step 5: Solve for x
    x = 2,277,069,403.14/53,307
  6. Step 6: Final answer
    x = 42,716.14

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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.