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Finding the Fourth Proportional to 35,859.40, 53,724.30 and 31,712.20

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Solution

The fourth proportional to 35,859.40, 53,724.30 and 31,712.20 is: 47,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,859.40 : 53,724.30 = 31,712.20 : x
  2. Step 2: Convert to fraction form
    35,859.40/53,724.30 = 31,712.20/x
  3. Step 3: Cross multiply
    35,859.40x = 53,724.30 × 31,712.20
  4. Step 4: Simplify right side
    35,859.40x = 1,703,715,746.46
  5. Step 5: Solve for x
    x = 1,703,715,746.46/35,859.40
  6. Step 6: Final answer
    x = 47,510.99

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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.