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Finding the Fourth Proportional to 98,637.53, 147,978.23 and 46,018.31

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Solution

The fourth proportional to 98,637.53, 147,978.23 and 46,018.31 is: 69,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,637.53 : 147,978.23 = 46,018.31 : x
  2. Step 2: Convert to fraction form
    98,637.53/147,978.23 = 46,018.31/x
  3. Step 3: Cross multiply
    98,637.53x = 147,978.23 × 46,018.31
  4. Step 4: Simplify right side
    98,637.53x = 6,809,707,831.30
  5. Step 5: Solve for x
    x = 6,809,707,831.30/98,637.53
  6. Step 6: Final answer
    x = 69,037.70

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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.