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Finding the Fourth Proportional to 112,730.56, 169,097.28 and 53,572

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Solution

The fourth proportional to 112,730.56, 169,097.28 and 53,572 is: 80,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,730.56 : 169,097.28 = 53,572 : x
  2. Step 2: Convert to fraction form
    112,730.56/169,097.28 = 53,572/x
  3. Step 3: Cross multiply
    112,730.56x = 169,097.28 × 53,572
  4. Step 4: Simplify right side
    112,730.56x = 9,058,879,484.16
  5. Step 5: Solve for x
    x = 9,058,879,484.16/112,730.56
  6. Step 6: Final answer
    x = 80,358.68

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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.