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Finding the Fourth Proportional to 35,643.40, 53,465.10 and 32,014.60

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Solution

The fourth proportional to 35,643.40, 53,465.10 and 32,014.60 is: 48,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.40 : 53,465.10 = 32,014.60 : x
  2. Step 2: Convert to fraction form
    35,643.40/53,465.10 = 32,014.60/x
  3. Step 3: Cross multiply
    35,643.40x = 53,465.10 × 32,014.60
  4. Step 4: Simplify right side
    35,643.40x = 1,711,663,790.46
  5. Step 5: Solve for x
    x = 1,711,663,790.46/35,643.40
  6. Step 6: Final answer
    x = 48,021.90

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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.