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Finding the Fourth Proportional to 32,784.24, 45,242.32 and 17,880.24

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Solution

The fourth proportional to 32,784.24, 45,242.32 and 17,880.24 is: 24,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.24 : 45,242.32 = 17,880.24 : x
  2. Step 2: Convert to fraction form
    32,784.24/45,242.32 = 17,880.24/x
  3. Step 3: Cross multiply
    32,784.24x = 45,242.32 × 17,880.24
  4. Step 4: Simplify right side
    32,784.24x = 808,943,539.76
  5. Step 5: Solve for x
    x = 808,943,539.76/32,784.24
  6. Step 6: Final answer
    x = 24,674.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.