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Finding the Fourth Proportional to 70,857.36, 97,780.32 and 39,024

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Solution

The fourth proportional to 70,857.36, 97,780.32 and 39,024 is: 53,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,857.36 : 97,780.32 = 39,024 : x
  2. Step 2: Convert to fraction form
    70,857.36/97,780.32 = 39,024/x
  3. Step 3: Cross multiply
    70,857.36x = 97,780.32 × 39,024
  4. Step 4: Simplify right side
    70,857.36x = 3,815,779,207.68
  5. Step 5: Solve for x
    x = 3,815,779,207.68/70,857.36
  6. Step 6: Final answer
    x = 53,851.56

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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.