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Finding the Fourth Proportional to 57,117.94, 78,681.92 and 48,592.76

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Solution

The fourth proportional to 57,117.94, 78,681.92 and 48,592.76 is: 66,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.94 : 78,681.92 = 48,592.76 : x
  2. Step 2: Convert to fraction form
    57,117.94/78,681.92 = 48,592.76/x
  3. Step 3: Cross multiply
    57,117.94x = 78,681.92 × 48,592.76
  4. Step 4: Simplify right side
    57,117.94x = 3,823,371,018.53
  5. Step 5: Solve for x
    x = 3,823,371,018.53/57,117.94
  6. Step 6: Final answer
    x = 66,938.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.