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Finding the Fourth Proportional to 30,675.40, 42,332.58 and 17,064.53

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Solution

The fourth proportional to 30,675.40, 42,332.58 and 17,064.53 is: 23,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.40 : 42,332.58 = 17,064.53 : x
  2. Step 2: Convert to fraction form
    30,675.40/42,332.58 = 17,064.53/x
  3. Step 3: Cross multiply
    30,675.40x = 42,332.58 × 17,064.53
  4. Step 4: Simplify right side
    30,675.40x = 722,385,405.79
  5. Step 5: Solve for x
    x = 722,385,405.79/30,675.40
  6. Step 6: Final answer
    x = 23,549.34

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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.