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Finding the Fourth Proportional to 97,342.84, 145,978.62 and 47,407.96

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Solution

The fourth proportional to 97,342.84, 145,978.62 and 47,407.96 is: 71,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.84 : 145,978.62 = 47,407.96 : x
  2. Step 2: Convert to fraction form
    97,342.84/145,978.62 = 47,407.96/x
  3. Step 3: Cross multiply
    97,342.84x = 145,978.62 × 47,407.96
  4. Step 4: Simplify right side
    97,342.84x = 6,920,548,577.82
  5. Step 5: Solve for x
    x = 6,920,548,577.82/97,342.84
  6. Step 6: Final answer
    x = 71,094.58

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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.