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Finding the Fourth Proportional to 31,034.34, 46,547.06 and 9,971.64

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Solution

The fourth proportional to 31,034.34, 46,547.06 and 9,971.64 is: 14,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.34 : 46,547.06 = 9,971.64 : x
  2. Step 2: Convert to fraction form
    31,034.34/46,547.06 = 9,971.64/x
  3. Step 3: Cross multiply
    31,034.34x = 46,547.06 × 9,971.64
  4. Step 4: Simplify right side
    31,034.34x = 464,150,475.52
  5. Step 5: Solve for x
    x = 464,150,475.52/31,034.34
  6. Step 6: Final answer
    x = 14,956.03

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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.