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Finding the Fourth Proportional to 32,032.64, 47,853.73 and 30,866.24

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Solution

The fourth proportional to 32,032.64, 47,853.73 and 30,866.24 is: 46,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.64 : 47,853.73 = 30,866.24 : x
  2. Step 2: Convert to fraction form
    32,032.64/47,853.73 = 30,866.24/x
  3. Step 3: Cross multiply
    32,032.64x = 47,853.73 × 30,866.24
  4. Step 4: Simplify right side
    32,032.64x = 1,477,064,715.08
  5. Step 5: Solve for x
    x = 1,477,064,715.08/32,032.64
  6. Step 6: Final answer
    x = 46,111.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.