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Finding the Fourth Proportional to 48,547.61, 72,849.72 and 20,465.94

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Solution

The fourth proportional to 48,547.61, 72,849.72 and 20,465.94 is: 30,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547.61 : 72,849.72 = 20,465.94 : x
  2. Step 2: Convert to fraction form
    48,547.61/72,849.72 = 20,465.94/x
  3. Step 3: Cross multiply
    48,547.61x = 72,849.72 × 20,465.94
  4. Step 4: Simplify right side
    48,547.61x = 1,490,937,998.54
  5. Step 5: Solve for x
    x = 1,490,937,998.54/48,547.61
  6. Step 6: Final answer
    x = 30,710.85

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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.