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Finding the Fourth Proportional to 97,445.84, 134,363.16 and 71,989.04

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Solution

The fourth proportional to 97,445.84, 134,363.16 and 71,989.04 is: 99,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,445.84 : 134,363.16 = 71,989.04 : x
  2. Step 2: Convert to fraction form
    97,445.84/134,363.16 = 71,989.04/x
  3. Step 3: Cross multiply
    97,445.84x = 134,363.16 × 71,989.04
  4. Step 4: Simplify right side
    97,445.84x = 9,672,674,899.77
  5. Step 5: Solve for x
    x = 9,672,674,899.77/97,445.84
  6. Step 6: Final answer
    x = 99,262.06

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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.