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Finding the Fourth Proportional to 96,530.80, 144,790.80 and 29,970.40

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Solution

The fourth proportional to 96,530.80, 144,790.80 and 29,970.40 is: 44,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,530.80 : 144,790.80 = 29,970.40 : x
  2. Step 2: Convert to fraction form
    96,530.80/144,790.80 = 29,970.40/x
  3. Step 3: Cross multiply
    96,530.80x = 144,790.80 × 29,970.40
  4. Step 4: Simplify right side
    96,530.80x = 4,339,438,192.32
  5. Step 5: Solve for x
    x = 4,339,438,192.32/96,530.80
  6. Step 6: Final answer
    x = 44,953.92

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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.