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Finding the Fourth Proportional to 97,376, 134,378.88 and 52,664

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Solution

The fourth proportional to 97,376, 134,378.88 and 52,664 is: 72,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376 : 134,378.88 = 52,664 : x
  2. Step 2: Convert to fraction form
    97,376/134,378.88 = 52,664/x
  3. Step 3: Cross multiply
    97,376x = 134,378.88 × 52,664
  4. Step 4: Simplify right side
    97,376x = 7,076,929,336.32
  5. Step 5: Solve for x
    x = 7,076,929,336.32/97,376
  6. Step 6: Final answer
    x = 72,676.32

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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.