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Finding the Fourth Proportional to 77,461.40, 116,189.70 and 22,057.40

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Solution

The fourth proportional to 77,461.40, 116,189.70 and 22,057.40 is: 33,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,461.40 : 116,189.70 = 22,057.40 : x
  2. Step 2: Convert to fraction form
    77,461.40/116,189.70 = 22,057.40/x
  3. Step 3: Cross multiply
    77,461.40x = 116,189.70 × 22,057.40
  4. Step 4: Simplify right side
    77,461.40x = 2,562,842,688.78
  5. Step 5: Solve for x
    x = 2,562,842,688.78/77,461.40
  6. Step 6: Final answer
    x = 33,085.42

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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.