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Finding the Fourth Proportional to 43,002.16, 64,528.16 and 18,040

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Solution

The fourth proportional to 43,002.16, 64,528.16 and 18,040 is: 27,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,002.16 : 64,528.16 = 18,040 : x
  2. Step 2: Convert to fraction form
    43,002.16/64,528.16 = 18,040/x
  3. Step 3: Cross multiply
    43,002.16x = 64,528.16 × 18,040
  4. Step 4: Simplify right side
    43,002.16x = 1,164,088,006.40
  5. Step 5: Solve for x
    x = 1,164,088,006.40/43,002.16
  6. Step 6: Final answer
    x = 27,070.45

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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.