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Finding the Fourth Proportional to 71,468.12, 98,581.02 and 46,316

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Solution

The fourth proportional to 71,468.12, 98,581.02 and 46,316 is: 63,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.12 : 98,581.02 = 46,316 : x
  2. Step 2: Convert to fraction form
    71,468.12/98,581.02 = 46,316/x
  3. Step 3: Cross multiply
    71,468.12x = 98,581.02 × 46,316
  4. Step 4: Simplify right side
    71,468.12x = 4,565,878,522.32
  5. Step 5: Solve for x
    x = 4,565,878,522.32/71,468.12
  6. Step 6: Final answer
    x = 63,886.93

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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.