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Finding the Fourth Proportional to 117,129.84, 175,702.47 and 47,000.04

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Solution

The fourth proportional to 117,129.84, 175,702.47 and 47,000.04 is: 70,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,129.84 : 175,702.47 = 47,000.04 : x
  2. Step 2: Convert to fraction form
    117,129.84/175,702.47 = 47,000.04/x
  3. Step 3: Cross multiply
    117,129.84x = 175,702.47 × 47,000.04
  4. Step 4: Simplify right side
    117,129.84x = 8,258,023,118.10
  5. Step 5: Solve for x
    x = 8,258,023,118.10/117,129.84
  6. Step 6: Final answer
    x = 70,503.15

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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.