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Finding the Fourth Proportional to 65,606.24, 97,897.47 and 58,537.64

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Solution

The fourth proportional to 65,606.24, 97,897.47 and 58,537.64 is: 87,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,606.24 : 97,897.47 = 58,537.64 : x
  2. Step 2: Convert to fraction form
    65,606.24/97,897.47 = 58,537.64/x
  3. Step 3: Cross multiply
    65,606.24x = 97,897.47 × 58,537.64
  4. Step 4: Simplify right side
    65,606.24x = 5,730,687,100.51
  5. Step 5: Solve for x
    x = 5,730,687,100.51/65,606.24
  6. Step 6: Final answer
    x = 87,349.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.