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Finding the Fourth Proportional to 35,887.66, 49,527.66 and 20,784.40

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Solution

The fourth proportional to 35,887.66, 49,527.66 and 20,784.40 is: 28,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,887.66 : 49,527.66 = 20,784.40 : x
  2. Step 2: Convert to fraction form
    35,887.66/49,527.66 = 20,784.40/x
  3. Step 3: Cross multiply
    35,887.66x = 49,527.66 × 20,784.40
  4. Step 4: Simplify right side
    35,887.66x = 1,029,402,696.50
  5. Step 5: Solve for x
    x = 1,029,402,696.50/35,887.66
  6. Step 6: Final answer
    x = 28,684.03

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Why These Related Problems?

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