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Finding the Fourth Proportional to 61,457.79, 92,199 and 19,348.47

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Solution

The fourth proportional to 61,457.79, 92,199 and 19,348.47 is: 29,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,457.79 : 92,199 = 19,348.47 : x
  2. Step 2: Convert to fraction form
    61,457.79/92,199 = 19,348.47/x
  3. Step 3: Cross multiply
    61,457.79x = 92,199 × 19,348.47
  4. Step 4: Simplify right side
    61,457.79x = 1,783,909,585.53
  5. Step 5: Solve for x
    x = 1,783,909,585.53/61,457.79
  6. Step 6: Final answer
    x = 29,026.58

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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.