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Finding the Fourth Proportional to 35,659.80, 53,492.67 and 9,364.50

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Solution

The fourth proportional to 35,659.80, 53,492.67 and 9,364.50 is: 14,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,659.80 : 53,492.67 = 9,364.50 : x
  2. Step 2: Convert to fraction form
    35,659.80/53,492.67 = 9,364.50/x
  3. Step 3: Cross multiply
    35,659.80x = 53,492.67 × 9,364.50
  4. Step 4: Simplify right side
    35,659.80x = 500,932,108.22
  5. Step 5: Solve for x
    x = 500,932,108.22/35,659.80
  6. Step 6: Final answer
    x = 14,047.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.