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Finding the Fourth Proportional to 35,830.11, 53,746.38 and 9,534.88

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Solution

The fourth proportional to 35,830.11, 53,746.38 and 9,534.88 is: 14,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.11 : 53,746.38 = 9,534.88 : x
  2. Step 2: Convert to fraction form
    35,830.11/53,746.38 = 9,534.88/x
  3. Step 3: Cross multiply
    35,830.11x = 53,746.38 × 9,534.88
  4. Step 4: Simplify right side
    35,830.11x = 512,465,113.61
  5. Step 5: Solve for x
    x = 512,465,113.61/35,830.11
  6. Step 6: Final answer
    x = 14,302.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.