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Finding the Fourth Proportional to 64,746.47, 97,119.47 and 29,166.14

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Solution

The fourth proportional to 64,746.47, 97,119.47 and 29,166.14 is: 43,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,746.47 : 97,119.47 = 29,166.14 : x
  2. Step 2: Convert to fraction form
    64,746.47/97,119.47 = 29,166.14/x
  3. Step 3: Cross multiply
    64,746.47x = 97,119.47 × 29,166.14
  4. Step 4: Simplify right side
    64,746.47x = 2,832,599,427.32
  5. Step 5: Solve for x
    x = 2,832,599,427.32/64,746.47
  6. Step 6: Final answer
    x = 43,749.10

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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.