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Finding the Fourth Proportional to 85,525.64, 128,307.36 and 29,364.47

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Solution

The fourth proportional to 85,525.64, 128,307.36 and 29,364.47 is: 44,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,525.64 : 128,307.36 = 29,364.47 : x
  2. Step 2: Convert to fraction form
    85,525.64/128,307.36 = 29,364.47/x
  3. Step 3: Cross multiply
    85,525.64x = 128,307.36 × 29,364.47
  4. Step 4: Simplify right side
    85,525.64x = 3,767,677,623.50
  5. Step 5: Solve for x
    x = 3,767,677,623.50/85,525.64
  6. Step 6: Final answer
    x = 44,053.19

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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.