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Finding the Fourth Proportional to 97,416, 134,434.08 and 52,704

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Solution

The fourth proportional to 97,416, 134,434.08 and 52,704 is: 72,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416 : 134,434.08 = 52,704 : x
  2. Step 2: Convert to fraction form
    97,416/134,434.08 = 52,704/x
  3. Step 3: Cross multiply
    97,416x = 134,434.08 × 52,704
  4. Step 4: Simplify right side
    97,416x = 7,085,213,752.32
  5. Step 5: Solve for x
    x = 7,085,213,752.32/97,416
  6. Step 6: Final answer
    x = 72,731.52

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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.