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Finding the Fourth Proportional to 97,182.63, 145,648.80 and 47,165.94

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Solution

The fourth proportional to 97,182.63, 145,648.80 and 47,165.94 is: 70,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,182.63 : 145,648.80 = 47,165.94 : x
  2. Step 2: Convert to fraction form
    97,182.63/145,648.80 = 47,165.94/x
  3. Step 3: Cross multiply
    97,182.63x = 145,648.80 × 47,165.94
  4. Step 4: Simplify right side
    97,182.63x = 6,869,662,561.87
  5. Step 5: Solve for x
    x = 6,869,662,561.87/97,182.63
  6. Step 6: Final answer
    x = 70,688.17

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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.