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Finding the Fourth Proportional to 97,545, 134,612.10 and 52,833

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Solution

The fourth proportional to 97,545, 134,612.10 and 52,833 is: 72,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,545 : 134,612.10 = 52,833 : x
  2. Step 2: Convert to fraction form
    97,545/134,612.10 = 52,833/x
  3. Step 3: Cross multiply
    97,545x = 134,612.10 × 52,833
  4. Step 4: Simplify right side
    97,545x = 7,111,961,079.30
  5. Step 5: Solve for x
    x = 7,111,961,079.30/97,545
  6. Step 6: Final answer
    x = 72,909.54

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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.