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Finding the Fourth Proportional to 70,384.64, 97,136.64 and 57,774.08

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Solution

The fourth proportional to 70,384.64, 97,136.64 and 57,774.08 is: 79,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.64 : 97,136.64 = 57,774.08 : x
  2. Step 2: Convert to fraction form
    70,384.64/97,136.64 = 57,774.08/x
  3. Step 3: Cross multiply
    70,384.64x = 97,136.64 × 57,774.08
  4. Step 4: Simplify right side
    70,384.64x = 5,611,980,010.29
  5. Step 5: Solve for x
    x = 5,611,980,010.29/70,384.64
  6. Step 6: Final answer
    x = 79,733.02

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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.