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Finding the Fourth Proportional to 77,094.65, 106,384.74 and 46,875.78

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Solution

The fourth proportional to 77,094.65, 106,384.74 and 46,875.78 is: 64,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094.65 : 106,384.74 = 46,875.78 : x
  2. Step 2: Convert to fraction form
    77,094.65/106,384.74 = 46,875.78/x
  3. Step 3: Cross multiply
    77,094.65x = 106,384.74 × 46,875.78
  4. Step 4: Simplify right side
    77,094.65x = 4,986,867,667.60
  5. Step 5: Solve for x
    x = 4,986,867,667.60/77,094.65
  6. Step 6: Final answer
    x = 64,685.00

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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.