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Finding the Fourth Proportional to 42,048.84, 57,959.74 and 30,700.36

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Solution

The fourth proportional to 42,048.84, 57,959.74 and 30,700.36 is: 42,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048.84 : 57,959.74 = 30,700.36 : x
  2. Step 2: Convert to fraction form
    42,048.84/57,959.74 = 30,700.36/x
  3. Step 3: Cross multiply
    42,048.84x = 57,959.74 × 30,700.36
  4. Step 4: Simplify right side
    42,048.84x = 1,779,384,994.33
  5. Step 5: Solve for x
    x = 1,779,384,994.33/42,048.84
  6. Step 6: Final answer
    x = 42,317.10

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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.