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Finding the Fourth Proportional to 52,602.32, 72,588.38 and 28,724.34

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Solution

The fourth proportional to 52,602.32, 72,588.38 and 28,724.34 is: 39,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.32 : 72,588.38 = 28,724.34 : x
  2. Step 2: Convert to fraction form
    52,602.32/72,588.38 = 28,724.34/x
  3. Step 3: Cross multiply
    52,602.32x = 72,588.38 × 28,724.34
  4. Step 4: Simplify right side
    52,602.32x = 2,085,053,307.17
  5. Step 5: Solve for x
    x = 2,085,053,307.17/52,602.32
  6. Step 6: Final answer
    x = 39,638.05

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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.