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Finding the Fourth Proportional to 71,335, 106,534.06 and 57,316.32

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Solution

The fourth proportional to 71,335, 106,534.06 and 57,316.32 is: 85,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,335 : 106,534.06 = 57,316.32 : x
  2. Step 2: Convert to fraction form
    71,335/106,534.06 = 57,316.32/x
  3. Step 3: Cross multiply
    71,335x = 106,534.06 × 57,316.32
  4. Step 4: Simplify right side
    71,335x = 6,106,140,273.86
  5. Step 5: Solve for x
    x = 6,106,140,273.86/71,335
  6. Step 6: Final answer
    x = 85,598.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.