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Finding the Fourth Proportional to 30,445.84, 45,647.28 and 11,710.12

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Solution

The fourth proportional to 30,445.84, 45,647.28 and 11,710.12 is: 17,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,445.84 : 45,647.28 = 11,710.12 : x
  2. Step 2: Convert to fraction form
    30,445.84/45,647.28 = 11,710.12/x
  3. Step 3: Cross multiply
    30,445.84x = 45,647.28 × 11,710.12
  4. Step 4: Simplify right side
    30,445.84x = 534,535,126.47
  5. Step 5: Solve for x
    x = 534,535,126.47/30,445.84
  6. Step 6: Final answer
    x = 17,556.92

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1.5x scale

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.