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Finding the Fourth Proportional to 46,413, 64,011.06 and 39,997.80

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Solution

The fourth proportional to 46,413, 64,011.06 and 39,997.80 is: 55,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 64,011.06 = 39,997.80 : x
  2. Step 2: Convert to fraction form
    46,413/64,011.06 = 39,997.80/x
  3. Step 3: Cross multiply
    46,413x = 64,011.06 × 39,997.80
  4. Step 4: Simplify right side
    46,413x = 2,560,301,575.67
  5. Step 5: Solve for x
    x = 2,560,301,575.67/46,413
  6. Step 6: Final answer
    x = 55,163.46

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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.