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Finding the Fourth Proportional to 29,407.86, 44,075.34 and 13,792.68

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Solution

The fourth proportional to 29,407.86, 44,075.34 and 13,792.68 is: 20,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.86 : 44,075.34 = 13,792.68 : x
  2. Step 2: Convert to fraction form
    29,407.86/44,075.34 = 13,792.68/x
  3. Step 3: Cross multiply
    29,407.86x = 44,075.34 × 13,792.68
  4. Step 4: Simplify right side
    29,407.86x = 607,917,060.51
  5. Step 5: Solve for x
    x = 607,917,060.51/29,407.86
  6. Step 6: Final answer
    x = 20,671.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.