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Finding the Fourth Proportional to 97,136.58, 145,666.52 and 47,201.88

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Solution

The fourth proportional to 97,136.58, 145,666.52 and 47,201.88 is: 70,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136.58 : 145,666.52 = 47,201.88 : x
  2. Step 2: Convert to fraction form
    97,136.58/145,666.52 = 47,201.88/x
  3. Step 3: Cross multiply
    97,136.58x = 145,666.52 × 47,201.88
  4. Step 4: Simplify right side
    97,136.58x = 6,875,733,597.06
  5. Step 5: Solve for x
    x = 6,875,733,597.06/97,136.58
  6. Step 6: Final answer
    x = 70,784.18

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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.