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Finding the Fourth Proportional to 65,075.60, 97,668.80 and 46,401.37

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Solution

The fourth proportional to 65,075.60, 97,668.80 and 46,401.37 is: 69,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.60 : 97,668.80 = 46,401.37 : x
  2. Step 2: Convert to fraction form
    65,075.60/97,668.80 = 46,401.37/x
  3. Step 3: Cross multiply
    65,075.60x = 97,668.80 × 46,401.37
  4. Step 4: Simplify right side
    65,075.60x = 4,531,966,126.26
  5. Step 5: Solve for x
    x = 4,531,966,126.26/65,075.60
  6. Step 6: Final answer
    x = 69,641.56

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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.