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Finding the Fourth Proportional to 117,176.76, 175,763.46 and 28,431

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Solution

The fourth proportional to 117,176.76, 175,763.46 and 28,431 is: 42,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,176.76 : 175,763.46 = 28,431 : x
  2. Step 2: Convert to fraction form
    117,176.76/175,763.46 = 28,431/x
  3. Step 3: Cross multiply
    117,176.76x = 175,763.46 × 28,431
  4. Step 4: Simplify right side
    117,176.76x = 4,997,130,931.26
  5. Step 5: Solve for x
    x = 4,997,130,931.26/117,176.76
  6. Step 6: Final answer
    x = 42,646.09

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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.