Home / 31,565.68-47,355-11,844.16

Finding the Fourth Proportional to 31,565.68, 47,355 and 11,844.16

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Solution

The fourth proportional to 31,565.68, 47,355 and 11,844.16 is: 17,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.68 : 47,355 = 11,844.16 : x
  2. Step 2: Convert to fraction form
    31,565.68/47,355 = 11,844.16/x
  3. Step 3: Cross multiply
    31,565.68x = 47,355 × 11,844.16
  4. Step 4: Simplify right side
    31,565.68x = 560,880,196.80
  5. Step 5: Solve for x
    x = 560,880,196.80/31,565.68
  6. Step 6: Final answer
    x = 17,768.67

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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.