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Finding the Fourth Proportional to 30,292, 45,442.14 and 10,567.60

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Solution

The fourth proportional to 30,292, 45,442.14 and 10,567.60 is: 15,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292 : 45,442.14 = 10,567.60 : x
  2. Step 2: Convert to fraction form
    30,292/45,442.14 = 10,567.60/x
  3. Step 3: Cross multiply
    30,292x = 45,442.14 × 10,567.60
  4. Step 4: Simplify right side
    30,292x = 480,214,358.66
  5. Step 5: Solve for x
    x = 480,214,358.66/30,292
  6. Step 6: Final answer
    x = 15,852.84

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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.