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Finding the Fourth Proportional to 53,154.72, 79,315.65 and 47,569.68

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Solution

The fourth proportional to 53,154.72, 79,315.65 and 47,569.68 is: 70,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154.72 : 79,315.65 = 47,569.68 : x
  2. Step 2: Convert to fraction form
    53,154.72/79,315.65 = 47,569.68/x
  3. Step 3: Cross multiply
    53,154.72x = 79,315.65 × 47,569.68
  4. Step 4: Simplify right side
    53,154.72x = 3,773,020,089.49
  5. Step 5: Solve for x
    x = 3,773,020,089.49/53,154.72
  6. Step 6: Final answer
    x = 70,981.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.