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Finding the Fourth Proportional to 30,291.60, 45,503.64 and 21,582.48

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Solution

The fourth proportional to 30,291.60, 45,503.64 and 21,582.48 is: 32,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.60 : 45,503.64 = 21,582.48 : x
  2. Step 2: Convert to fraction form
    30,291.60/45,503.64 = 21,582.48/x
  3. Step 3: Cross multiply
    30,291.60x = 45,503.64 × 21,582.48
  4. Step 4: Simplify right side
    30,291.60x = 982,081,400.23
  5. Step 5: Solve for x
    x = 982,081,400.23/30,291.60
  6. Step 6: Final answer
    x = 32,420.92

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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.