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Finding the Fourth Proportional to 32,477.61, 48,717.78 and 10,290.49

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Solution

The fourth proportional to 32,477.61, 48,717.78 and 10,290.49 is: 15,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.61 : 48,717.78 = 10,290.49 : x
  2. Step 2: Convert to fraction form
    32,477.61/48,717.78 = 10,290.49/x
  3. Step 3: Cross multiply
    32,477.61x = 48,717.78 × 10,290.49
  4. Step 4: Simplify right side
    32,477.61x = 501,329,970.51
  5. Step 5: Solve for x
    x = 501,329,970.51/32,477.61
  6. Step 6: Final answer
    x = 15,436.17

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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.