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Finding the Fourth Proportional to 82,852.50, 114,336.90 and 45,126.84

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Solution

The fourth proportional to 82,852.50, 114,336.90 and 45,126.84 is: 62,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.50 : 114,336.90 = 45,126.84 : x
  2. Step 2: Convert to fraction form
    82,852.50/114,336.90 = 45,126.84/x
  3. Step 3: Cross multiply
    82,852.50x = 114,336.90 × 45,126.84
  4. Step 4: Simplify right side
    82,852.50x = 5,159,662,992.40
  5. Step 5: Solve for x
    x = 5,159,662,992.40/82,852.50
  6. Step 6: Final answer
    x = 62,275.28

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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.