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Finding the Fourth Proportional to 35,895.42, 53,838.95 and 9,602.21

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Solution

The fourth proportional to 35,895.42, 53,838.95 and 9,602.21 is: 14,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,895.42 : 53,838.95 = 9,602.21 : x
  2. Step 2: Convert to fraction form
    35,895.42/53,838.95 = 9,602.21/x
  3. Step 3: Cross multiply
    35,895.42x = 53,838.95 × 9,602.21
  4. Step 4: Simplify right side
    35,895.42x = 516,972,990.67
  5. Step 5: Solve for x
    x = 516,972,990.67/35,895.42
  6. Step 6: Final answer
    x = 14,402.20

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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.