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Finding the Fourth Proportional to 42,705.40, 64,378.45 and 39,851

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Solution

The fourth proportional to 42,705.40, 64,378.45 and 39,851 is: 60,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705.40 : 64,378.45 = 39,851 : x
  2. Step 2: Convert to fraction form
    42,705.40/64,378.45 = 39,851/x
  3. Step 3: Cross multiply
    42,705.40x = 64,378.45 × 39,851
  4. Step 4: Simplify right side
    42,705.40x = 2,565,545,610.95
  5. Step 5: Solve for x
    x = 2,565,545,610.95/42,705.40
  6. Step 6: Final answer
    x = 60,075.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.