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Finding the Fourth Proportional to 32,386.96, 48,582.16 and 10,202.06

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Solution

The fourth proportional to 32,386.96, 48,582.16 and 10,202.06 is: 15,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386.96 : 48,582.16 = 10,202.06 : x
  2. Step 2: Convert to fraction form
    32,386.96/48,582.16 = 10,202.06/x
  3. Step 3: Cross multiply
    32,386.96x = 48,582.16 × 10,202.06
  4. Step 4: Simplify right side
    32,386.96x = 495,638,111.25
  5. Step 5: Solve for x
    x = 495,638,111.25/32,386.96
  6. Step 6: Final answer
    x = 15,303.63

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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.