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Finding the Fourth Proportional to 38,716, 53,428.64 and 22,582.86

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Solution

The fourth proportional to 38,716, 53,428.64 and 22,582.86 is: 31,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716 : 53,428.64 = 22,582.86 : x
  2. Step 2: Convert to fraction form
    38,716/53,428.64 = 22,582.86/x
  3. Step 3: Cross multiply
    38,716x = 53,428.64 × 22,582.86
  4. Step 4: Simplify right side
    38,716x = 1,206,571,497.11
  5. Step 5: Solve for x
    x = 1,206,571,497.11/38,716
  6. Step 6: Final answer
    x = 31,164.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.