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Finding the Fourth Proportional to 70,492.84, 97,284.60 and 46,577.56

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Solution

The fourth proportional to 70,492.84, 97,284.60 and 46,577.56 is: 64,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.84 : 97,284.60 = 46,577.56 : x
  2. Step 2: Convert to fraction form
    70,492.84/97,284.60 = 46,577.56/x
  3. Step 3: Cross multiply
    70,492.84x = 97,284.60 × 46,577.56
  4. Step 4: Simplify right side
    70,492.84x = 4,531,279,293.58
  5. Step 5: Solve for x
    x = 4,531,279,293.58/70,492.84
  6. Step 6: Final answer
    x = 64,279.99

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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.