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Finding the Fourth Proportional to 30,477.60, 45,716.40 and 30,283.20

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Solution

The fourth proportional to 30,477.60, 45,716.40 and 30,283.20 is: 45,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.60 : 45,716.40 = 30,283.20 : x
  2. Step 2: Convert to fraction form
    30,477.60/45,716.40 = 30,283.20/x
  3. Step 3: Cross multiply
    30,477.60x = 45,716.40 × 30,283.20
  4. Step 4: Simplify right side
    30,477.60x = 1,384,438,884.48
  5. Step 5: Solve for x
    x = 1,384,438,884.48/30,477.60
  6. Step 6: Final answer
    x = 45,424.80

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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.