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Finding the Fourth Proportional to 97,848, 135,030.24 and 53,136

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Solution

The fourth proportional to 97,848, 135,030.24 and 53,136 is: 73,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848 : 135,030.24 = 53,136 : x
  2. Step 2: Convert to fraction form
    97,848/135,030.24 = 53,136/x
  3. Step 3: Cross multiply
    97,848x = 135,030.24 × 53,136
  4. Step 4: Simplify right side
    97,848x = 7,174,966,832.64
  5. Step 5: Solve for x
    x = 7,174,966,832.64/97,848
  6. Step 6: Final answer
    x = 73,327.68

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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.