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Finding the Fourth Proportional to 32,482.51, 44,826 and 17,578.51

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Solution

The fourth proportional to 32,482.51, 44,826 and 17,578.51 is: 24,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.51 : 44,826 = 17,578.51 : x
  2. Step 2: Convert to fraction form
    32,482.51/44,826 = 17,578.51/x
  3. Step 3: Cross multiply
    32,482.51x = 44,826 × 17,578.51
  4. Step 4: Simplify right side
    32,482.51x = 787,974,289.26
  5. Step 5: Solve for x
    x = 787,974,289.26/32,482.51
  6. Step 6: Final answer
    x = 24,258.42

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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.