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Finding the Fourth Proportional to 39,783.98, 59,671.50 and 10,202.51

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Solution

The fourth proportional to 39,783.98, 59,671.50 and 10,202.51 is: 15,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783.98 : 59,671.50 = 10,202.51 : x
  2. Step 2: Convert to fraction form
    39,783.98/59,671.50 = 10,202.51/x
  3. Step 3: Cross multiply
    39,783.98x = 59,671.50 × 10,202.51
  4. Step 4: Simplify right side
    39,783.98x = 608,799,075.47
  5. Step 5: Solve for x
    x = 608,799,075.47/39,783.98
  6. Step 6: Final answer
    x = 15,302.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.