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Finding the Fourth Proportional to 32,265, 44,506.40 and 20,307.58

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Solution

The fourth proportional to 32,265, 44,506.40 and 20,307.58 is: 28,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265 : 44,506.40 = 20,307.58 : x
  2. Step 2: Convert to fraction form
    32,265/44,506.40 = 20,307.58/x
  3. Step 3: Cross multiply
    32,265x = 44,506.40 × 20,307.58
  4. Step 4: Simplify right side
    32,265x = 903,817,065.71
  5. Step 5: Solve for x
    x = 903,817,065.71/32,265
  6. Step 6: Final answer
    x = 28,012.31

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