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Finding the Fourth Proportional to 32,386.50, 48,579.75 and 9,013.55

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Solution

The fourth proportional to 32,386.50, 48,579.75 and 9,013.55 is: 13,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386.50 : 48,579.75 = 9,013.55 : x
  2. Step 2: Convert to fraction form
    32,386.50/48,579.75 = 9,013.55/x
  3. Step 3: Cross multiply
    32,386.50x = 48,579.75 × 9,013.55
  4. Step 4: Simplify right side
    32,386.50x = 437,875,762.71
  5. Step 5: Solve for x
    x = 437,875,762.71/32,386.50
  6. Step 6: Final answer
    x = 13,520.32

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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.