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Finding the Fourth Proportional to 102,245.60, 153,368.40 and 32,124.80

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Solution

The fourth proportional to 102,245.60, 153,368.40 and 32,124.80 is: 48,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.60 : 153,368.40 = 32,124.80 : x
  2. Step 2: Convert to fraction form
    102,245.60/153,368.40 = 32,124.80/x
  3. Step 3: Cross multiply
    102,245.60x = 153,368.40 × 32,124.80
  4. Step 4: Simplify right side
    102,245.60x = 4,926,929,176.32
  5. Step 5: Solve for x
    x = 4,926,929,176.32/102,245.60
  6. Step 6: Final answer
    x = 48,187.20

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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.