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Finding the Fourth Proportional to 31,303.50, 46,955.21 and 7,931.76

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Solution

The fourth proportional to 31,303.50, 46,955.21 and 7,931.76 is: 11,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.50 : 46,955.21 = 7,931.76 : x
  2. Step 2: Convert to fraction form
    31,303.50/46,955.21 = 7,931.76/x
  3. Step 3: Cross multiply
    31,303.50x = 46,955.21 × 7,931.76
  4. Step 4: Simplify right side
    31,303.50x = 372,437,416.81
  5. Step 5: Solve for x
    x = 372,437,416.81/31,303.50
  6. Step 6: Final answer
    x = 11,897.63

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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.