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Finding the Fourth Proportional to 53,434.60, 73,726.50 and 34,549

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Solution

The fourth proportional to 53,434.60, 73,726.50 and 34,549 is: 47,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434.60 : 73,726.50 = 34,549 : x
  2. Step 2: Convert to fraction form
    53,434.60/73,726.50 = 34,549/x
  3. Step 3: Cross multiply
    53,434.60x = 73,726.50 × 34,549
  4. Step 4: Simplify right side
    53,434.60x = 2,547,176,848.50
  5. Step 5: Solve for x
    x = 2,547,176,848.50/53,434.60
  6. Step 6: Final answer
    x = 47,669.05

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1.5x scale

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.