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Finding the Fourth Proportional to 65,038.49, 97,557.70 and 18,291.36

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Solution

The fourth proportional to 65,038.49, 97,557.70 and 18,291.36 is: 27,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.49 : 97,557.70 = 18,291.36 : x
  2. Step 2: Convert to fraction form
    65,038.49/97,557.70 = 18,291.36/x
  3. Step 3: Cross multiply
    65,038.49x = 97,557.70 × 18,291.36
  4. Step 4: Simplify right side
    65,038.49x = 1,784,463,011.47
  5. Step 5: Solve for x
    x = 1,784,463,011.47/65,038.49
  6. Step 6: Final answer
    x = 27,437.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.