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Finding the Fourth Proportional to 98,831.38, 136,385.64 and 53,509.00

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Solution

The fourth proportional to 98,831.38, 136,385.64 and 53,509.00 is: 73,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,831.38 : 136,385.64 = 53,509.00 : x
  2. Step 2: Convert to fraction form
    98,831.38/136,385.64 = 53,509.00/x
  3. Step 3: Cross multiply
    98,831.38x = 136,385.64 × 53,509.00
  4. Step 4: Simplify right side
    98,831.38x = 7,297,859,070.45
  5. Step 5: Solve for x
    x = 7,297,859,070.45/98,831.38
  6. Step 6: Final answer
    x = 73,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.