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Finding the Fourth Proportional to 32,307.41, 48,484.80 and 21,210.20

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Solution

The fourth proportional to 32,307.41, 48,484.80 and 21,210.20 is: 31,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.41 : 48,484.80 = 21,210.20 : x
  2. Step 2: Convert to fraction form
    32,307.41/48,484.80 = 21,210.20/x
  3. Step 3: Cross multiply
    32,307.41x = 48,484.80 × 21,210.20
  4. Step 4: Simplify right side
    32,307.41x = 1,028,372,062.54
  5. Step 5: Solve for x
    x = 1,028,372,062.54/32,307.41
  6. Step 6: Final answer
    x = 31,830.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.