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Finding the Fourth Proportional to 32,416.58, 48,630.06 and 13,696.80

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Solution

The fourth proportional to 32,416.58, 48,630.06 and 13,696.80 is: 20,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416.58 : 48,630.06 = 13,696.80 : x
  2. Step 2: Convert to fraction form
    32,416.58/48,630.06 = 13,696.80/x
  3. Step 3: Cross multiply
    32,416.58x = 48,630.06 × 13,696.80
  4. Step 4: Simplify right side
    32,416.58x = 666,076,114.63
  5. Step 5: Solve for x
    x = 666,076,114.63/32,416.58
  6. Step 6: Final answer
    x = 20,547.39

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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.