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Finding the Fourth Proportional to 48,668.16, 72,957.60 and 32,001.60

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Solution

The fourth proportional to 48,668.16, 72,957.60 and 32,001.60 is: 47,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,668.16 : 72,957.60 = 32,001.60 : x
  2. Step 2: Convert to fraction form
    48,668.16/72,957.60 = 32,001.60/x
  3. Step 3: Cross multiply
    48,668.16x = 72,957.60 × 32,001.60
  4. Step 4: Simplify right side
    48,668.16x = 2,334,759,932.16
  5. Step 5: Solve for x
    x = 2,334,759,932.16/48,668.16
  6. Step 6: Final answer
    x = 47,973.05

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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.