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Finding the Fourth Proportional to 97,149.52, 134,076 and 56,860.93

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Solution

The fourth proportional to 97,149.52, 134,076 and 56,860.93 is: 78,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149.52 : 134,076 = 56,860.93 : x
  2. Step 2: Convert to fraction form
    97,149.52/134,076 = 56,860.93/x
  3. Step 3: Cross multiply
    97,149.52x = 134,076 × 56,860.93
  4. Step 4: Simplify right side
    97,149.52x = 7,623,686,050.68
  5. Step 5: Solve for x
    x = 7,623,686,050.68/97,149.52
  6. Step 6: Final answer
    x = 78,473.74

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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.