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Finding the Fourth Proportional to 78,484.98, 117,801.46 and 28,613.28

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Solution

The fourth proportional to 78,484.98, 117,801.46 and 28,613.28 is: 42,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.98 : 117,801.46 = 28,613.28 : x
  2. Step 2: Convert to fraction form
    78,484.98/117,801.46 = 28,613.28/x
  3. Step 3: Cross multiply
    78,484.98x = 117,801.46 × 28,613.28
  4. Step 4: Simplify right side
    78,484.98x = 3,370,686,159.39
  5. Step 5: Solve for x
    x = 3,370,686,159.39/78,484.98
  6. Step 6: Final answer
    x = 42,946.89

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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.