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Finding the Fourth Proportional to 30,200.40, 45,271.80 and 23,533.20

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Solution

The fourth proportional to 30,200.40, 45,271.80 and 23,533.20 is: 35,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.40 : 45,271.80 = 23,533.20 : x
  2. Step 2: Convert to fraction form
    30,200.40/45,271.80 = 23,533.20/x
  3. Step 3: Cross multiply
    30,200.40x = 45,271.80 × 23,533.20
  4. Step 4: Simplify right side
    30,200.40x = 1,065,390,323.76
  5. Step 5: Solve for x
    x = 1,065,390,323.76/30,200.40
  6. Step 6: Final answer
    x = 35,277.36

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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.