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Finding the Fourth Proportional to 97,875.66, 135,068.28 and 55,442.36

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Solution

The fourth proportional to 97,875.66, 135,068.28 and 55,442.36 is: 76,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875.66 : 135,068.28 = 55,442.36 : x
  2. Step 2: Convert to fraction form
    97,875.66/135,068.28 = 55,442.36/x
  3. Step 3: Cross multiply
    97,875.66x = 135,068.28 × 55,442.36
  4. Step 4: Simplify right side
    97,875.66x = 7,488,504,204.34
  5. Step 5: Solve for x
    x = 7,488,504,204.34/97,875.66
  6. Step 6: Final answer
    x = 76,510.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.