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Finding the Fourth Proportional to 77,457, 116,178.21 and 24,866.94

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Solution

The fourth proportional to 77,457, 116,178.21 and 24,866.94 is: 37,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457 : 116,178.21 = 24,866.94 : x
  2. Step 2: Convert to fraction form
    77,457/116,178.21 = 24,866.94/x
  3. Step 3: Cross multiply
    77,457x = 116,178.21 × 24,866.94
  4. Step 4: Simplify right side
    77,457x = 2,888,996,577.38
  5. Step 5: Solve for x
    x = 2,888,996,577.38/77,457
  6. Step 6: Final answer
    x = 37,298.07

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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.