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Finding the Fourth Proportional to 31,308.53, 46,953.03 and 10,243.76

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Solution

The fourth proportional to 31,308.53, 46,953.03 and 10,243.76 is: 15,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.53 : 46,953.03 = 10,243.76 : x
  2. Step 2: Convert to fraction form
    31,308.53/46,953.03 = 10,243.76/x
  3. Step 3: Cross multiply
    31,308.53x = 46,953.03 × 10,243.76
  4. Step 4: Simplify right side
    31,308.53x = 480,975,570.59
  5. Step 5: Solve for x
    x = 480,975,570.59/31,308.53
  6. Step 6: Final answer
    x = 15,362.45

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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.