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Finding the Fourth Proportional to 32,637, 48,948.64 and 15,980.25

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Solution

The fourth proportional to 32,637, 48,948.64 and 15,980.25 is: 23,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637 : 48,948.64 = 15,980.25 : x
  2. Step 2: Convert to fraction form
    32,637/48,948.64 = 15,980.25/x
  3. Step 3: Cross multiply
    32,637x = 48,948.64 × 15,980.25
  4. Step 4: Simplify right side
    32,637x = 782,211,464.41
  5. Step 5: Solve for x
    x = 782,211,464.41/32,637
  6. Step 6: Final answer
    x = 23,967.01

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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.