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Finding the Fourth Proportional to 96,509.16, 144,792.54 and 43,875

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Solution

The fourth proportional to 96,509.16, 144,792.54 and 43,875 is: 65,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.16 : 144,792.54 = 43,875 : x
  2. Step 2: Convert to fraction form
    96,509.16/144,792.54 = 43,875/x
  3. Step 3: Cross multiply
    96,509.16x = 144,792.54 × 43,875
  4. Step 4: Simplify right side
    96,509.16x = 6,352,772,692.50
  5. Step 5: Solve for x
    x = 6,352,772,692.50/96,509.16
  6. Step 6: Final answer
    x = 65,825.59

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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.