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Finding the Fourth Proportional to 98,572.16, 147,929.44 and 39,424.32

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Solution

The fourth proportional to 98,572.16, 147,929.44 and 39,424.32 is: 59,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572.16 : 147,929.44 = 39,424.32 : x
  2. Step 2: Convert to fraction form
    98,572.16/147,929.44 = 39,424.32/x
  3. Step 3: Cross multiply
    98,572.16x = 147,929.44 × 39,424.32
  4. Step 4: Simplify right side
    98,572.16x = 5,832,017,579.98
  5. Step 5: Solve for x
    x = 5,832,017,579.98/98,572.16
  6. Step 6: Final answer
    x = 59,164.96

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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.