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Finding the Fourth Proportional to 102,592.81, 153,835.62 and 46,406.08

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Solution

The fourth proportional to 102,592.81, 153,835.62 and 46,406.08 is: 69,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,592.81 : 153,835.62 = 46,406.08 : x
  2. Step 2: Convert to fraction form
    102,592.81/153,835.62 = 46,406.08/x
  3. Step 3: Cross multiply
    102,592.81x = 153,835.62 × 46,406.08
  4. Step 4: Simplify right side
    102,592.81x = 7,138,908,088.57
  5. Step 5: Solve for x
    x = 7,138,908,088.57/102,592.81
  6. Step 6: Final answer
    x = 69,584.88

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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.