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Finding the Fourth Proportional to 61,435.71, 92,075.70 and 29,853

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Solution

The fourth proportional to 61,435.71, 92,075.70 and 29,853 is: 44,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,435.71 : 92,075.70 = 29,853 : x
  2. Step 2: Convert to fraction form
    61,435.71/92,075.70 = 29,853/x
  3. Step 3: Cross multiply
    61,435.71x = 92,075.70 × 29,853
  4. Step 4: Simplify right side
    61,435.71x = 2,748,735,872.10
  5. Step 5: Solve for x
    x = 2,748,735,872.10/61,435.71
  6. Step 6: Final answer
    x = 44,741.66

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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.