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Finding the Fourth Proportional to 32,862.94, 49,298.85 and 10,669.12

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Solution

The fourth proportional to 32,862.94, 49,298.85 and 10,669.12 is: 16,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.94 : 49,298.85 = 10,669.12 : x
  2. Step 2: Convert to fraction form
    32,862.94/49,298.85 = 10,669.12/x
  3. Step 3: Cross multiply
    32,862.94x = 49,298.85 × 10,669.12
  4. Step 4: Simplify right side
    32,862.94x = 525,975,346.51
  5. Step 5: Solve for x
    x = 525,975,346.51/32,862.94
  6. Step 6: Final answer
    x = 16,005.12

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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.