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Finding the Fourth Proportional to 31,710.83, 47,533.03 and 10,645.70

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Solution

The fourth proportional to 31,710.83, 47,533.03 and 10,645.70 is: 15,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.83 : 47,533.03 = 10,645.70 : x
  2. Step 2: Convert to fraction form
    31,710.83/47,533.03 = 10,645.70/x
  3. Step 3: Cross multiply
    31,710.83x = 47,533.03 × 10,645.70
  4. Step 4: Simplify right side
    31,710.83x = 506,022,113.19
  5. Step 5: Solve for x
    x = 506,022,113.19/31,710.83
  6. Step 6: Final answer
    x = 15,957.39

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1.5x scale

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.