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Finding the Fourth Proportional to 46,047.60, 69,030.90 and 31,208.40

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Solution

The fourth proportional to 46,047.60, 69,030.90 and 31,208.40 is: 46,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047.60 : 69,030.90 = 31,208.40 : x
  2. Step 2: Convert to fraction form
    46,047.60/69,030.90 = 31,208.40/x
  3. Step 3: Cross multiply
    46,047.60x = 69,030.90 × 31,208.40
  4. Step 4: Simplify right side
    46,047.60x = 2,154,343,939.56
  5. Step 5: Solve for x
    x = 2,154,343,939.56/46,047.60
  6. Step 6: Final answer
    x = 46,785.15

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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.