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Finding the Fourth Proportional to 30,485.38, 42,070.53 and 17,056.06

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Solution

The fourth proportional to 30,485.38, 42,070.53 and 17,056.06 is: 23,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485.38 : 42,070.53 = 17,056.06 : x
  2. Step 2: Convert to fraction form
    30,485.38/42,070.53 = 17,056.06/x
  3. Step 3: Cross multiply
    30,485.38x = 42,070.53 × 17,056.06
  4. Step 4: Simplify right side
    30,485.38x = 717,557,483.91
  5. Step 5: Solve for x
    x = 717,557,483.91/30,485.38
  6. Step 6: Final answer
    x = 23,537.76

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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.