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Finding the Fourth Proportional to 46,119, 63,632.94 and 30,775.38

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Solution

The fourth proportional to 46,119, 63,632.94 and 30,775.38 is: 42,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,119 : 63,632.94 = 30,775.38 : x
  2. Step 2: Convert to fraction form
    46,119/63,632.94 = 30,775.38/x
  3. Step 3: Cross multiply
    46,119x = 63,632.94 × 30,775.38
  4. Step 4: Simplify right side
    46,119x = 1,958,327,909.02
  5. Step 5: Solve for x
    x = 1,958,327,909.02/46,119
  6. Step 6: Final answer
    x = 42,462.50

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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.