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Finding the Fourth Proportional to 38,784.81, 53,528.82 and 23,686.16

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Solution

The fourth proportional to 38,784.81, 53,528.82 and 23,686.16 is: 32,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784.81 : 53,528.82 = 23,686.16 : x
  2. Step 2: Convert to fraction form
    38,784.81/53,528.82 = 23,686.16/x
  3. Step 3: Cross multiply
    38,784.81x = 53,528.82 × 23,686.16
  4. Step 4: Simplify right side
    38,784.81x = 1,267,892,038.52
  5. Step 5: Solve for x
    x = 1,267,892,038.52/38,784.81
  6. Step 6: Final answer
    x = 32,690.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.