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Finding the Fourth Proportional to 32,758.64, 45,205.72 and 17,854.32

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Solution

The fourth proportional to 32,758.64, 45,205.72 and 17,854.32 is: 24,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.64 : 45,205.72 = 17,854.32 : x
  2. Step 2: Convert to fraction form
    32,758.64/45,205.72 = 17,854.32/x
  3. Step 3: Cross multiply
    32,758.64x = 45,205.72 × 17,854.32
  4. Step 4: Simplify right side
    32,758.64x = 807,117,390.71
  5. Step 5: Solve for x
    x = 807,117,390.71/32,758.64
  6. Step 6: Final answer
    x = 24,638.31

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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.