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Finding the Fourth Proportional to 97,136, 134,024.64 and 54,686.08

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Solution

The fourth proportional to 97,136, 134,024.64 and 54,686.08 is: 75,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136 : 134,024.64 = 54,686.08 : x
  2. Step 2: Convert to fraction form
    97,136/134,024.64 = 54,686.08/x
  3. Step 3: Cross multiply
    97,136x = 134,024.64 × 54,686.08
  4. Step 4: Simplify right side
    97,136x = 7,329,282,185.01
  5. Step 5: Solve for x
    x = 7,329,282,185.01/97,136
  6. Step 6: Final answer
    x = 75,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.