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Finding the Fourth Proportional to 64,751.37, 97,101.51 and 31,461.58

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Solution

The fourth proportional to 64,751.37, 97,101.51 and 31,461.58 is: 47,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,751.37 : 97,101.51 = 31,461.58 : x
  2. Step 2: Convert to fraction form
    64,751.37/97,101.51 = 31,461.58/x
  3. Step 3: Cross multiply
    64,751.37x = 97,101.51 × 31,461.58
  4. Step 4: Simplify right side
    64,751.37x = 3,054,966,924.99
  5. Step 5: Solve for x
    x = 3,054,966,924.99/64,751.37
  6. Step 6: Final answer
    x = 47,179.96

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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.