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Finding the Fourth Proportional to 97,089.34, 145,447.42 and 59,539.92

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Solution

The fourth proportional to 97,089.34, 145,447.42 and 59,539.92 is: 89,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.34 : 145,447.42 = 59,539.92 : x
  2. Step 2: Convert to fraction form
    97,089.34/145,447.42 = 59,539.92/x
  3. Step 3: Cross multiply
    97,089.34x = 145,447.42 × 59,539.92
  4. Step 4: Simplify right side
    97,089.34x = 8,659,927,751.01
  5. Step 5: Solve for x
    x = 8,659,927,751.01/97,089.34
  6. Step 6: Final answer
    x = 89,195.45

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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.