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Finding the Fourth Proportional to 73,048.68, 100,819.53 and 42,417

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Solution

The fourth proportional to 73,048.68, 100,819.53 and 42,417 is: 58,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,048.68 : 100,819.53 = 42,417 : x
  2. Step 2: Convert to fraction form
    73,048.68/100,819.53 = 42,417/x
  3. Step 3: Cross multiply
    73,048.68x = 100,819.53 × 42,417
  4. Step 4: Simplify right side
    73,048.68x = 4,276,462,004.01
  5. Step 5: Solve for x
    x = 4,276,462,004.01/73,048.68
  6. Step 6: Final answer
    x = 58,542.63

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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.