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Finding the Fourth Proportional to 30,773.16, 42,465.72 and 17,347.14

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Solution

The fourth proportional to 30,773.16, 42,465.72 and 17,347.14 is: 23,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.16 : 42,465.72 = 17,347.14 : x
  2. Step 2: Convert to fraction form
    30,773.16/42,465.72 = 17,347.14/x
  3. Step 3: Cross multiply
    30,773.16x = 42,465.72 × 17,347.14
  4. Step 4: Simplify right side
    30,773.16x = 736,658,790.04
  5. Step 5: Solve for x
    x = 736,658,790.04/30,773.16
  6. Step 6: Final answer
    x = 23,938.35

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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.