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Finding the Fourth Proportional to 100,970.77, 151,483.43 and 30,848.17

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Solution

The fourth proportional to 100,970.77, 151,483.43 and 30,848.17 is: 46,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970.77 : 151,483.43 = 30,848.17 : x
  2. Step 2: Convert to fraction form
    100,970.77/151,483.43 = 30,848.17/x
  3. Step 3: Cross multiply
    100,970.77x = 151,483.43 × 30,848.17
  4. Step 4: Simplify right side
    100,970.77x = 4,672,986,693.78
  5. Step 5: Solve for x
    x = 4,672,986,693.78/100,970.77
  6. Step 6: Final answer
    x = 46,280.59

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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.