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Finding the Fourth Proportional to 76,036.50, 114,055.02 and 20,632.50

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Solution

The fourth proportional to 76,036.50, 114,055.02 and 20,632.50 is: 30,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,036.50 : 114,055.02 = 20,632.50 : x
  2. Step 2: Convert to fraction form
    76,036.50/114,055.02 = 20,632.50/x
  3. Step 3: Cross multiply
    76,036.50x = 114,055.02 × 20,632.50
  4. Step 4: Simplify right side
    76,036.50x = 2,353,240,200.15
  5. Step 5: Solve for x
    x = 2,353,240,200.15/76,036.50
  6. Step 6: Final answer
    x = 30,948.82

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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.