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Finding the Fourth Proportional to 30,729.36, 46,094.95 and 12,008.64

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Solution

The fourth proportional to 30,729.36, 46,094.95 and 12,008.64 is: 18,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.36 : 46,094.95 = 12,008.64 : x
  2. Step 2: Convert to fraction form
    30,729.36/46,094.95 = 12,008.64/x
  3. Step 3: Cross multiply
    30,729.36x = 46,094.95 × 12,008.64
  4. Step 4: Simplify right side
    30,729.36x = 553,537,660.37
  5. Step 5: Solve for x
    x = 553,537,660.37/30,729.36
  6. Step 6: Final answer
    x = 18,013.32

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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.