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Finding the Fourth Proportional to 35,510.40, 53,265.60 and 31,881.60

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Solution

The fourth proportional to 35,510.40, 53,265.60 and 31,881.60 is: 47,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.40 : 53,265.60 = 31,881.60 : x
  2. Step 2: Convert to fraction form
    35,510.40/53,265.60 = 31,881.60/x
  3. Step 3: Cross multiply
    35,510.40x = 53,265.60 × 31,881.60
  4. Step 4: Simplify right side
    35,510.40x = 1,698,192,552.96
  5. Step 5: Solve for x
    x = 1,698,192,552.96/35,510.40
  6. Step 6: Final answer
    x = 47,822.40

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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.