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Finding the Fourth Proportional to 56,605.10, 78,117.08 and 31,113.80

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Solution

The fourth proportional to 56,605.10, 78,117.08 and 31,113.80 is: 42,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.10 : 78,117.08 = 31,113.80 : x
  2. Step 2: Convert to fraction form
    56,605.10/78,117.08 = 31,113.80/x
  3. Step 3: Cross multiply
    56,605.10x = 78,117.08 × 31,113.80
  4. Step 4: Simplify right side
    56,605.10x = 2,430,518,657.55
  5. Step 5: Solve for x
    x = 2,430,518,657.55/56,605.10
  6. Step 6: Final answer
    x = 42,938.16

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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.