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Finding the Fourth Proportional to 39,552.32, 59,328.40 and 9,970

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Solution

The fourth proportional to 39,552.32, 59,328.40 and 9,970 is: 14,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,552.32 : 59,328.40 = 9,970 : x
  2. Step 2: Convert to fraction form
    39,552.32/59,328.40 = 9,970/x
  3. Step 3: Cross multiply
    39,552.32x = 59,328.40 × 9,970
  4. Step 4: Simplify right side
    39,552.32x = 591,504,148
  5. Step 5: Solve for x
    x = 591,504,148/39,552.32
  6. Step 6: Final answer
    x = 14,954.98

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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.