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Finding the Fourth Proportional to 103,457, 155,185.50 and 29,590.76

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Solution

The fourth proportional to 103,457, 155,185.50 and 29,590.76 is: 44,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457 : 155,185.50 = 29,590.76 : x
  2. Step 2: Convert to fraction form
    103,457/155,185.50 = 29,590.76/x
  3. Step 3: Cross multiply
    103,457x = 155,185.50 × 29,590.76
  4. Step 4: Simplify right side
    103,457x = 4,592,056,885.98
  5. Step 5: Solve for x
    x = 4,592,056,885.98/103,457
  6. Step 6: Final answer
    x = 44,386.14

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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.