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Finding the Fourth Proportional to 52,506, 78,762.94 and 15,065.76

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Solution

The fourth proportional to 52,506, 78,762.94 and 15,065.76 is: 22,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506 : 78,762.94 = 15,065.76 : x
  2. Step 2: Convert to fraction form
    52,506/78,762.94 = 15,065.76/x
  3. Step 3: Cross multiply
    52,506x = 78,762.94 × 15,065.76
  4. Step 4: Simplify right side
    52,506x = 1,186,623,550.93
  5. Step 5: Solve for x
    x = 1,186,623,550.93/52,506
  6. Step 6: Final answer
    x = 22,599.77

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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.