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Finding the Fourth Proportional to 117,643.52, 176,465.10 and 28,897.40

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Solution

The fourth proportional to 117,643.52, 176,465.10 and 28,897.40 is: 43,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.52 : 176,465.10 = 28,897.40 : x
  2. Step 2: Convert to fraction form
    117,643.52/176,465.10 = 28,897.40/x
  3. Step 3: Cross multiply
    117,643.52x = 176,465.10 × 28,897.40
  4. Step 4: Simplify right side
    117,643.52x = 5,099,382,580.74
  5. Step 5: Solve for x
    x = 5,099,382,580.74/117,643.52
  6. Step 6: Final answer
    x = 43,346.06

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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.