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Finding the Fourth Proportional to 35,341.31, 53,011.92 and 9,046.06

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Solution

The fourth proportional to 35,341.31, 53,011.92 and 9,046.06 is: 13,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341.31 : 53,011.92 = 9,046.06 : x
  2. Step 2: Convert to fraction form
    35,341.31/53,011.92 = 9,046.06/x
  3. Step 3: Cross multiply
    35,341.31x = 53,011.92 × 9,046.06
  4. Step 4: Simplify right side
    35,341.31x = 479,549,009.04
  5. Step 5: Solve for x
    x = 479,549,009.04/35,341.31
  6. Step 6: Final answer
    x = 13,569.08

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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.