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Finding the Fourth Proportional to 65,153.41, 97,750.88 and 29,124.31

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Solution

The fourth proportional to 65,153.41, 97,750.88 and 29,124.31 is: 43,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.41 : 97,750.88 = 29,124.31 : x
  2. Step 2: Convert to fraction form
    65,153.41/97,750.88 = 29,124.31/x
  3. Step 3: Cross multiply
    65,153.41x = 97,750.88 × 29,124.31
  4. Step 4: Simplify right side
    65,153.41x = 2,846,926,931.89
  5. Step 5: Solve for x
    x = 2,846,926,931.89/65,153.41
  6. Step 6: Final answer
    x = 43,695.75

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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.