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Finding the Fourth Proportional to 96,124.72, 144,200.80 and 29,570.40

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Solution

The fourth proportional to 96,124.72, 144,200.80 and 29,570.40 is: 44,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124.72 : 144,200.80 = 29,570.40 : x
  2. Step 2: Convert to fraction form
    96,124.72/144,200.80 = 29,570.40/x
  3. Step 3: Cross multiply
    96,124.72x = 144,200.80 × 29,570.40
  4. Step 4: Simplify right side
    96,124.72x = 4,264,075,336.32
  5. Step 5: Solve for x
    x = 4,264,075,336.32/96,124.72
  6. Step 6: Final answer
    x = 44,359.82

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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.