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Finding the Fourth Proportional to 27,070.40, 40,509.48 and 16,536.80

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Solution

The fourth proportional to 27,070.40, 40,509.48 and 16,536.80 is: 24,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.40 : 40,509.48 = 16,536.80 : x
  2. Step 2: Convert to fraction form
    27,070.40/40,509.48 = 16,536.80/x
  3. Step 3: Cross multiply
    27,070.40x = 40,509.48 × 16,536.80
  4. Step 4: Simplify right side
    27,070.40x = 669,897,168.86
  5. Step 5: Solve for x
    x = 669,897,168.86/27,070.40
  6. Step 6: Final answer
    x = 24,746.48

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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.