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Finding the Fourth Proportional to 91,875.70, 137,740.65 and 50,322.70

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Solution

The fourth proportional to 91,875.70, 137,740.65 and 50,322.70 is: 75,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,875.70 : 137,740.65 = 50,322.70 : x
  2. Step 2: Convert to fraction form
    91,875.70/137,740.65 = 50,322.70/x
  3. Step 3: Cross multiply
    91,875.70x = 137,740.65 × 50,322.70
  4. Step 4: Simplify right side
    91,875.70x = 6,931,481,407.76
  5. Step 5: Solve for x
    x = 6,931,481,407.76/91,875.70
  6. Step 6: Final answer
    x = 75,444.12

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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.