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Finding the Fourth Proportional to 29,925, 44,893.98 and 11,457

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Solution

The fourth proportional to 29,925, 44,893.98 and 11,457 is: 17,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,925 : 44,893.98 = 11,457 : x
  2. Step 2: Convert to fraction form
    29,925/44,893.98 = 11,457/x
  3. Step 3: Cross multiply
    29,925x = 44,893.98 × 11,457
  4. Step 4: Simplify right side
    29,925x = 514,350,328.86
  5. Step 5: Solve for x
    x = 514,350,328.86/29,925
  6. Step 6: Final answer
    x = 17,187.98

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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.