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Finding the Fourth Proportional to 104,881.40, 157,322.10 and 31,009.40

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Solution

The fourth proportional to 104,881.40, 157,322.10 and 31,009.40 is: 46,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,881.40 : 157,322.10 = 31,009.40 : x
  2. Step 2: Convert to fraction form
    104,881.40/157,322.10 = 31,009.40/x
  3. Step 3: Cross multiply
    104,881.40x = 157,322.10 × 31,009.40
  4. Step 4: Simplify right side
    104,881.40x = 4,878,463,927.74
  5. Step 5: Solve for x
    x = 4,878,463,927.74/104,881.40
  6. Step 6: Final answer
    x = 46,514.10

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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.