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Finding the Fourth Proportional to 46,473, 69,670.30 and 20,157.93

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Solution

The fourth proportional to 46,473, 69,670.30 and 20,157.93 is: 30,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473 : 69,670.30 = 20,157.93 : x
  2. Step 2: Convert to fraction form
    46,473/69,670.30 = 20,157.93/x
  3. Step 3: Cross multiply
    46,473x = 69,670.30 × 20,157.93
  4. Step 4: Simplify right side
    46,473x = 1,404,409,030.48
  5. Step 5: Solve for x
    x = 1,404,409,030.48/46,473
  6. Step 6: Final answer
    x = 30,219.89

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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.