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Finding the Fourth Proportional to 65,312.83, 97,962 and 17,931.52

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Solution

The fourth proportional to 65,312.83, 97,962 and 17,931.52 is: 26,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.83 : 97,962 = 17,931.52 : x
  2. Step 2: Convert to fraction form
    65,312.83/97,962 = 17,931.52/x
  3. Step 3: Cross multiply
    65,312.83x = 97,962 × 17,931.52
  4. Step 4: Simplify right side
    65,312.83x = 1,756,607,562.24
  5. Step 5: Solve for x
    x = 1,756,607,562.24/65,312.83
  6. Step 6: Final answer
    x = 26,895.29

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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.