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Finding the Fourth Proportional to 70,038.53, 96,657.74 and 39,826.66

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Solution

The fourth proportional to 70,038.53, 96,657.74 and 39,826.66 is: 54,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038.53 : 96,657.74 = 39,826.66 : x
  2. Step 2: Convert to fraction form
    70,038.53/96,657.74 = 39,826.66/x
  3. Step 3: Cross multiply
    70,038.53x = 96,657.74 × 39,826.66
  4. Step 4: Simplify right side
    70,038.53x = 3,849,554,748.22
  5. Step 5: Solve for x
    x = 3,849,554,748.22/70,038.53
  6. Step 6: Final answer
    x = 54,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.