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Finding the Fourth Proportional to 32,580.48, 48,861 and 11,516.64

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Solution

The fourth proportional to 32,580.48, 48,861 and 11,516.64 is: 17,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.48 : 48,861 = 11,516.64 : x
  2. Step 2: Convert to fraction form
    32,580.48/48,861 = 11,516.64/x
  3. Step 3: Cross multiply
    32,580.48x = 48,861 × 11,516.64
  4. Step 4: Simplify right side
    32,580.48x = 562,714,547.04
  5. Step 5: Solve for x
    x = 562,714,547.04/32,580.48
  6. Step 6: Final answer
    x = 17,271.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.