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Finding the Fourth Proportional to 71,352, 98,465.76 and 39,522.95

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Solution

The fourth proportional to 71,352, 98,465.76 and 39,522.95 is: 54,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 98,465.76 = 39,522.95 : x
  2. Step 2: Convert to fraction form
    71,352/98,465.76 = 39,522.95/x
  3. Step 3: Cross multiply
    71,352x = 98,465.76 × 39,522.95
  4. Step 4: Simplify right side
    71,352x = 3,891,657,186.11
  5. Step 5: Solve for x
    x = 3,891,657,186.11/71,352
  6. Step 6: Final answer
    x = 54,541.67

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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.