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Finding the Fourth Proportional to 65,075.92, 97,346.58 and 51,953.92

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Solution

The fourth proportional to 65,075.92, 97,346.58 and 51,953.92 is: 77,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.92 : 97,346.58 = 51,953.92 : x
  2. Step 2: Convert to fraction form
    65,075.92/97,346.58 = 51,953.92/x
  3. Step 3: Cross multiply
    65,075.92x = 97,346.58 × 51,953.92
  4. Step 4: Simplify right side
    65,075.92x = 5,057,536,429.59
  5. Step 5: Solve for x
    x = 5,057,536,429.59/65,075.92
  6. Step 6: Final answer
    x = 77,717.48

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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.