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Finding the Fourth Proportional to 56,641.04, 78,167.40 and 31,490

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Solution

The fourth proportional to 56,641.04, 78,167.40 and 31,490 is: 43,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,641.04 : 78,167.40 = 31,490 : x
  2. Step 2: Convert to fraction form
    56,641.04/78,167.40 = 31,490/x
  3. Step 3: Cross multiply
    56,641.04x = 78,167.40 × 31,490
  4. Step 4: Simplify right side
    56,641.04x = 2,461,491,426
  5. Step 5: Solve for x
    x = 2,461,491,426/56,641.04
  6. Step 6: Final answer
    x = 43,457.74

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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.