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Finding the Fourth Proportional to 97,064.96, 145,510.80 and 37,886.84

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Solution

The fourth proportional to 97,064.96, 145,510.80 and 37,886.84 is: 56,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064.96 : 145,510.80 = 37,886.84 : x
  2. Step 2: Convert to fraction form
    97,064.96/145,510.80 = 37,886.84/x
  3. Step 3: Cross multiply
    97,064.96x = 145,510.80 × 37,886.84
  4. Step 4: Simplify right side
    97,064.96x = 5,512,944,397.87
  5. Step 5: Solve for x
    x = 5,512,944,397.87/97,064.96
  6. Step 6: Final answer
    x = 56,796.44

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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.