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Finding the Fourth Proportional to 78,827.52, 118,208.64 and 32,048.64

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Solution

The fourth proportional to 78,827.52, 118,208.64 and 32,048.64 is: 48,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.52 : 118,208.64 = 32,048.64 : x
  2. Step 2: Convert to fraction form
    78,827.52/118,208.64 = 32,048.64/x
  3. Step 3: Cross multiply
    78,827.52x = 118,208.64 × 32,048.64
  4. Step 4: Simplify right side
    78,827.52x = 3,788,426,148.25
  5. Step 5: Solve for x
    x = 3,788,426,148.25/78,827.52
  6. Step 6: Final answer
    x = 48,059.69

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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.